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Finding the Fourth Proportional to 6,937.60, 9,572.88 and 3,952.96

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Solution

The fourth proportional to 6,937.60, 9,572.88 and 3,952.96 is: 5,454.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.60 : 9,572.88 = 3,952.96 : x
  2. Step 2: Convert to fraction form
    6,937.60/9,572.88 = 3,952.96/x
  3. Step 3: Cross multiply
    6,937.60x = 9,572.88 × 3,952.96
  4. Step 4: Simplify right side
    6,937.60x = 37,841,211.72
  5. Step 5: Solve for x
    x = 37,841,211.72/6,937.60
  6. Step 6: Final answer
    x = 5,454.51

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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.