As the cogs rotate, with the central cog always going clockwise, Ada adds together all 792 different 4-digit numbers she sees in the rectangle, starting with 1101 as shown. Her sum is \(S\).
Will, on the other hand, multiplies the three numbers in the rectangle together. The sum of these 792 products is \(T\).
What is the value of \( \frac{S}{T}\) (to 4 s.f.)?
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