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Finding the Fourth Proportional to 9,129.92, 12,599.25 and 4,938.17

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Solution

The fourth proportional to 9,129.92, 12,599.25 and 4,938.17 is: 6,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.92 : 12,599.25 = 4,938.17 : x
  2. Step 2: Convert to fraction form
    9,129.92/12,599.25 = 4,938.17/x
  3. Step 3: Cross multiply
    9,129.92x = 12,599.25 × 4,938.17
  4. Step 4: Simplify right side
    9,129.92x = 62,217,175.38
  5. Step 5: Solve for x
    x = 62,217,175.38/9,129.92
  6. Step 6: Final answer
    x = 6,814.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.