It says 9-34. 19 on speedometer
I.e. 3.78 by the speedo gear.
But its hard to know. Until perhaps the mid-90s, replacement gearsets were not readily available and the gears were first available in the most widely used 3.78 setup.
I put a 3.54 under my 29 CC Truck in the early 1980s - and 3.78 was all there was then. My speedometer today reads possibly 4 mph LOW at highway speed.
Dad followed me in his car while I was driving the Model A to New Hampshire in the early 1980s. On our arrival he says to me "Don't you want to keep that Model A under 60 mph considering your brakes are none too good?" I never drove the car above 55 by the dial.
So I would say its very unlikely given your actual driving sensation that you have a standard original differential gear.
I'm looking at the Service Bulletins Page 393 and production driven speedo gears then was:
A-17271-B Gear for 9-24 and 10-37 (3.77 & 3.78)differential ratios = 18 teeth
A-17271-E Gear for 9-37 (4.11) differential ratios = 20 teeth.
Page 415
A-17270-D Gear for smaller tires of 1930,31 Model Year (3.78 ratio) = 19 teeth.
A-17271-E Gear for 9-37 (4.11) differential ratios = 20 teeth continue.
So it may be possible to remove the cap, count the teeth, and confirm what the speedo gear case says.
But this still doesn't confirm what the rear axle ACTUALLY is.
Joe K