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Finding the Fourth Proportional to 6,713.73, 9,264.78 and 3,729.57

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Solution

The fourth proportional to 6,713.73, 9,264.78 and 3,729.57 is: 5,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.73 : 9,264.78 = 3,729.57 : x
  2. Step 2: Convert to fraction form
    6,713.73/9,264.78 = 3,729.57/x
  3. Step 3: Cross multiply
    6,713.73x = 9,264.78 × 3,729.57
  4. Step 4: Simplify right side
    6,713.73x = 34,553,645.54
  5. Step 5: Solve for x
    x = 34,553,645.54/6,713.73
  6. Step 6: Final answer
    x = 5,146.71

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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.