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Finding the Fourth Proportional to 9,257.52, 13,882.20 and 2,682.24

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Solution

The fourth proportional to 9,257.52, 13,882.20 and 2,682.24 is: 4,022.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.52 : 13,882.20 = 2,682.24 : x
  2. Step 2: Convert to fraction form
    9,257.52/13,882.20 = 2,682.24/x
  3. Step 3: Cross multiply
    9,257.52x = 13,882.20 × 2,682.24
  4. Step 4: Simplify right side
    9,257.52x = 37,235,392.13
  5. Step 5: Solve for x
    x = 37,235,392.13/9,257.52
  6. Step 6: Final answer
    x = 4,022.18

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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.