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Finding the Fourth Proportional to 9,147.91, 12,624.17 and 4,956.16

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Solution

The fourth proportional to 9,147.91, 12,624.17 and 4,956.16 is: 6,839.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.91 : 12,624.17 = 4,956.16 : x
  2. Step 2: Convert to fraction form
    9,147.91/12,624.17 = 4,956.16/x
  3. Step 3: Cross multiply
    9,147.91x = 12,624.17 × 4,956.16
  4. Step 4: Simplify right side
    9,147.91x = 62,567,406.39
  5. Step 5: Solve for x
    x = 62,567,406.39/9,147.91
  6. Step 6: Final answer
    x = 6,839.53

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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.