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Finding the Fourth Proportional to 6,937.16, 9,572.87 and 3,952.97

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Solution

The fourth proportional to 6,937.16, 9,572.87 and 3,952.97 is: 5,454.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.16 : 9,572.87 = 3,952.97 : x
  2. Step 2: Convert to fraction form
    6,937.16/9,572.87 = 3,952.97/x
  3. Step 3: Cross multiply
    6,937.16x = 9,572.87 × 3,952.97
  4. Step 4: Simplify right side
    6,937.16x = 37,841,200.29
  5. Step 5: Solve for x
    x = 37,841,200.29/6,937.16
  6. Step 6: Final answer
    x = 5,454.86

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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.