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Finding the Fourth Proportional to 9,432.59, 14,148.90 and 2,507.09

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Solution

The fourth proportional to 9,432.59, 14,148.90 and 2,507.09 is: 3,760.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.59 : 14,148.90 = 2,507.09 : x
  2. Step 2: Convert to fraction form
    9,432.59/14,148.90 = 2,507.09/x
  3. Step 3: Cross multiply
    9,432.59x = 14,148.90 × 2,507.09
  4. Step 4: Simplify right side
    9,432.59x = 35,472,494.96
  5. Step 5: Solve for x
    x = 35,472,494.96/9,432.59
  6. Step 6: Final answer
    x = 3,760.63

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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.