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Finding the Fourth Proportional to 9,149.36, 12,626.10 and 4,957.61

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Solution

The fourth proportional to 9,149.36, 12,626.10 and 4,957.61 is: 6,841.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.36 : 12,626.10 = 4,957.61 : x
  2. Step 2: Convert to fraction form
    9,149.36/12,626.10 = 4,957.61/x
  3. Step 3: Cross multiply
    9,149.36x = 12,626.10 × 4,957.61
  4. Step 4: Simplify right side
    9,149.36x = 62,595,279.62
  5. Step 5: Solve for x
    x = 62,595,279.62/9,149.36
  6. Step 6: Final answer
    x = 6,841.49

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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.