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Finding the Fourth Proportional to 9,149.46, 12,626.16 and 4,957.74

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Solution

The fourth proportional to 9,149.46, 12,626.16 and 4,957.74 is: 6,841.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.46 : 12,626.16 = 4,957.74 : x
  2. Step 2: Convert to fraction form
    9,149.46/12,626.16 = 4,957.74/x
  3. Step 3: Cross multiply
    9,149.46x = 12,626.16 × 4,957.74
  4. Step 4: Simplify right side
    9,149.46x = 62,597,218.48
  5. Step 5: Solve for x
    x = 62,597,218.48/9,149.46
  6. Step 6: Final answer
    x = 6,841.63

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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.