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Finding the Fourth Proportional to 9,251.68, 13,882.99 and 3,412.39

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Solution

The fourth proportional to 9,251.68, 13,882.99 and 3,412.39 is: 5,120.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.68 : 13,882.99 = 3,412.39 : x
  2. Step 2: Convert to fraction form
    9,251.68/13,882.99 = 3,412.39/x
  3. Step 3: Cross multiply
    9,251.68x = 13,882.99 × 3,412.39
  4. Step 4: Simplify right side
    9,251.68x = 47,374,167.72
  5. Step 5: Solve for x
    x = 47,374,167.72/9,251.68
  6. Step 6: Final answer
    x = 5,120.60

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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.