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Finding the Fourth Proportional to 9,085.88, 12,538.41 and 5,052.71

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Solution

The fourth proportional to 9,085.88, 12,538.41 and 5,052.71 is: 6,972.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.88 : 12,538.41 = 5,052.71 : x
  2. Step 2: Convert to fraction form
    9,085.88/12,538.41 = 5,052.71/x
  3. Step 3: Cross multiply
    9,085.88x = 12,538.41 × 5,052.71
  4. Step 4: Simplify right side
    9,085.88x = 63,352,949.59
  5. Step 5: Solve for x
    x = 63,352,949.59/9,085.88
  6. Step 6: Final answer
    x = 6,972.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.