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38.4626799228372=x\times \frac{100}{1300}
Add 1200 and 100 to get 1300.
38.4626799228372=x\times \frac{1}{13}
Reduce the fraction \frac{100}{1300} to lowest terms by extracting and canceling out 100.
x\times \frac{1}{13}=38.4626799228372
Swap sides so that all variable terms are on the left hand side.
x=38.4626799228372\times 13
Multiply both sides by 13, the reciprocal of \frac{1}{13}.
x=500.0148389968836
Multiply 38.4626799228372 and 13 to get 500.0148389968836.