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Finding the Fourth Proportional to 9,229.75, 12,737.07 and 5,038

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Solution

The fourth proportional to 9,229.75, 12,737.07 and 5,038 is: 6,952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.75 : 12,737.07 = 5,038 : x
  2. Step 2: Convert to fraction form
    9,229.75/12,737.07 = 5,038/x
  3. Step 3: Cross multiply
    9,229.75x = 12,737.07 × 5,038
  4. Step 4: Simplify right side
    9,229.75x = 64,169,358.66
  5. Step 5: Solve for x
    x = 64,169,358.66/9,229.75
  6. Step 6: Final answer
    x = 6,952.45

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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.