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Finding the Fourth Proportional to 9,121.56, 13,684.46 and 2,882.20

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Solution

The fourth proportional to 9,121.56, 13,684.46 and 2,882.20 is: 4,323.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121.56 : 13,684.46 = 2,882.20 : x
  2. Step 2: Convert to fraction form
    9,121.56/13,684.46 = 2,882.20/x
  3. Step 3: Cross multiply
    9,121.56x = 13,684.46 × 2,882.20
  4. Step 4: Simplify right side
    9,121.56x = 39,441,350.61
  5. Step 5: Solve for x
    x = 39,441,350.61/9,121.56
  6. Step 6: Final answer
    x = 4,323.97

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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.