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Finding the Fourth Proportional to 9,207.52, 13,800.48 and 3,941

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Solution

The fourth proportional to 9,207.52, 13,800.48 and 3,941 is: 5,906.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.52 : 13,800.48 = 3,941 : x
  2. Step 2: Convert to fraction form
    9,207.52/13,800.48 = 3,941/x
  3. Step 3: Cross multiply
    9,207.52x = 13,800.48 × 3,941
  4. Step 4: Simplify right side
    9,207.52x = 54,387,691.68
  5. Step 5: Solve for x
    x = 54,387,691.68/9,207.52
  6. Step 6: Final answer
    x = 5,906.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.