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Finding the Fourth Proportional to 9,335.92, 12,883.32 and 5,144.14

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Solution

The fourth proportional to 9,335.92, 12,883.32 and 5,144.14 is: 7,098.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.92 : 12,883.32 = 5,144.14 : x
  2. Step 2: Convert to fraction form
    9,335.92/12,883.32 = 5,144.14/x
  3. Step 3: Cross multiply
    9,335.92x = 12,883.32 × 5,144.14
  4. Step 4: Simplify right side
    9,335.92x = 66,273,601.74
  5. Step 5: Solve for x
    x = 66,273,601.74/9,335.92
  6. Step 6: Final answer
    x = 7,098.78

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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.