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Finding the Fourth Proportional to 9,149.36, 12,625.97 and 4,957.61

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Solution

The fourth proportional to 9,149.36, 12,625.97 and 4,957.61 is: 6,841.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.36 : 12,625.97 = 4,957.61 : x
  2. Step 2: Convert to fraction form
    9,149.36/12,625.97 = 4,957.61/x
  3. Step 3: Cross multiply
    9,149.36x = 12,625.97 × 4,957.61
  4. Step 4: Simplify right side
    9,149.36x = 62,594,547.21
  5. Step 5: Solve for x
    x = 62,594,547.21/9,149.36
  6. Step 6: Final answer
    x = 6,841.42

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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.