Sure, let's solve this step-by-step.
1. Division:
We start by dividing 102,900 by 12.
[tex]\[
\frac{102,900}{12} = 8575.0
\][/tex]
2. Multiplication:
Next, we multiply 170 by 1.27.
[tex]\[
170 \times 1.27 = 215.9
\][/tex]
3. Addition:
Now, we add the results of our division and multiplication.
[tex]\[
8575.0 + 215.9 = 8790.9
\][/tex]
4. Rounding:
The final step is to express our answer to the correct number of significant figures. The sum 8790.9 is already given to one decimal place, which matches the most precise measurement involved (1.27 has 3 significant figures).
So, the correct answer is:
[tex]\[
\boxed{8,790.9}
\][/tex]
