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The problem is most likely in the transfer case or the linkage. The transfer case is bolted to the rear of the transmission on that truck. The linkage could be misadjusted, there should be three distinct positions for the transfer case, Neutral, Low and High. If you suspect the linkage disconnect the linkage and manually put the transfer case in each position and try it to see if it works, if it does it's the linkage if not the problem is in the transfer case itself.
well your having a problem with the transmission range sensor which is covered by your suzuki warranty of 7yr 100k it may need a transmission check with your local dealer... The range sensor is not covered under the powertrain warranty, only 3 year 36,000
The EPA range estimate for the 2009 Suzuki SX4 is 290.4 mi. in the city, 396.0 mi. on the highway.
The EPA range estimate for the 2011 Suzuki Kizashi is 348.6 mi. in the city, 514.6 mi. on the highway.
The EPA range estimate for the 2012 Suzuki Kizashi is 348.6 mi. in the city, 514.6 mi. on the highway.
The EPA range estimate for the 2011 Suzuki SX4 is 303.6 mi. in the city, 435.6 mi. on the highway.
The EPA range estimate for the 2008 Suzuki SX4 is 290.4 mi. in the city, 396.0 mi. on the highway.
The EPA range estimate for the 2013 Suzuki Kizashi is 332.0 mi. in the city, 481.4 mi. on the highway.
The EPA range estimate for the 2012 Suzuki SX4 is 303.6 mi. in the city, 435.6 mi. on the highway.
The EPA range estimate for the 2010 Suzuki Kizashi is 332.0 mi. in the city, 481.4 mi. on the highway.
The EPA range estimate for the 2010 Suzuki SX4 is 303.6 mi. in the city, 435.6 mi. on the highway.
The EPA range estimate for the 2007 Suzuki SX4 is 231.0 mi. in the city, 286.0 mi. on the highway.