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Finding the Fourth Proportional to 9,165.62, 12,647.49 and 5,132.68

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Solution

The fourth proportional to 9,165.62, 12,647.49 and 5,132.68 is: 7,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.62 : 12,647.49 = 5,132.68 : x
  2. Step 2: Convert to fraction form
    9,165.62/12,647.49 = 5,132.68/x
  3. Step 3: Cross multiply
    9,165.62x = 12,647.49 × 5,132.68
  4. Step 4: Simplify right side
    9,165.62x = 64,915,518.97
  5. Step 5: Solve for x
    x = 64,915,518.97/9,165.62
  6. Step 6: Final answer
    x = 7,082.50

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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.