DD I Came across some Turk numbers.. Looks like for the Short Rifles there was only 4325 of the 1903 short Rifles made and 11625 of the 1938 Short rifles...
I came across a 1945 K Kale model with a serial number in the 8900s which is spot on with this Serial number guide... How about your rifle???
Turk Mauser - Serial Numbers
I can not believe that there are more 1938 short rifles (Almost 3 - 1) over the 1903 Short rifles.. From the way you see them selling on Gunbroker you would think there were more of the 1903s
According to that list, mine was made in 1944 (Serial # 27xx).