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Finding the Fourth Proportional to 9,132.59, 12,598.97 and 5,353.85

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Solution

The fourth proportional to 9,132.59, 12,598.97 and 5,353.85 is: 7,385.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.59 : 12,598.97 = 5,353.85 : x
  2. Step 2: Convert to fraction form
    9,132.59/12,598.97 = 5,353.85/x
  3. Step 3: Cross multiply
    9,132.59x = 12,598.97 × 5,353.85
  4. Step 4: Simplify right side
    9,132.59x = 67,452,945.92
  5. Step 5: Solve for x
    x = 67,452,945.92/9,132.59
  6. Step 6: Final answer
    x = 7,385.96

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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.