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Finding the Fourth Proportional to 9,142.92, 12,617.24 and 4,951.17

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Solution

The fourth proportional to 9,142.92, 12,617.24 and 4,951.17 is: 6,832.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.92 : 12,617.24 = 4,951.17 : x
  2. Step 2: Convert to fraction form
    9,142.92/12,617.24 = 4,951.17/x
  3. Step 3: Cross multiply
    9,142.92x = 12,617.24 × 4,951.17
  4. Step 4: Simplify right side
    9,142.92x = 62,470,100.17
  5. Step 5: Solve for x
    x = 62,470,100.17/9,142.92
  6. Step 6: Final answer
    x = 6,832.62

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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.