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Finding the Fourth Proportional to 9,988.57, 14,982.18 and 3,414.61

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Solution

The fourth proportional to 9,988.57, 14,982.18 and 3,414.61 is: 5,121.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988.57 : 14,982.18 = 3,414.61 : x
  2. Step 2: Convert to fraction form
    9,988.57/14,982.18 = 3,414.61/x
  3. Step 3: Cross multiply
    9,988.57x = 14,982.18 × 3,414.61
  4. Step 4: Simplify right side
    9,988.57x = 51,158,301.65
  5. Step 5: Solve for x
    x = 51,158,301.65/9,988.57
  6. Step 6: Final answer
    x = 5,121.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.