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Finding the Fourth Proportional to 9,672.57, 14,506.75 and 3,432.78

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Solution

The fourth proportional to 9,672.57, 14,506.75 and 3,432.78 is: 5,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.57 : 14,506.75 = 3,432.78 : x
  2. Step 2: Convert to fraction form
    9,672.57/14,506.75 = 3,432.78/x
  3. Step 3: Cross multiply
    9,672.57x = 14,506.75 × 3,432.78
  4. Step 4: Simplify right side
    9,672.57x = 49,798,481.27
  5. Step 5: Solve for x
    x = 49,798,481.27/9,672.57
  6. Step 6: Final answer
    x = 5,148.42

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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.