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Finding the Fourth Proportional to 9,147.92, 12,624.12 and 4,956.14

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Solution

The fourth proportional to 9,147.92, 12,624.12 and 4,956.14 is: 6,839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.92 : 12,624.12 = 4,956.14 : x
  2. Step 2: Convert to fraction form
    9,147.92/12,624.12 = 4,956.14/x
  3. Step 3: Cross multiply
    9,147.92x = 12,624.12 × 4,956.14
  4. Step 4: Simplify right side
    9,147.92x = 62,566,906.10
  5. Step 5: Solve for x
    x = 62,566,906.10/9,147.92
  6. Step 6: Final answer
    x = 6,839.47

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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.