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To find the radius of the original circle, we can use the formula for dilation:
Dilated radius = Skill factor * Original radius
Given that the skill factor is 3/4 and the dilated radius is 9 inches, we can substitute the values into the formula and solve for the original radius:
9 inches = (3/4) * Original radius
To isolate the Original radius, we can multiply both sides of the equation by (4/3):
(4/3) * 9 inches = Original radius
Thus, the radius of the original circle is 12 inches.