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Finding the Fourth Proportional to 9,691.92, 14,540.09 and 3,452.59

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Solution

The fourth proportional to 9,691.92, 14,540.09 and 3,452.59 is: 5,179.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.92 : 14,540.09 = 3,452.59 : x
  2. Step 2: Convert to fraction form
    9,691.92/14,540.09 = 3,452.59/x
  3. Step 3: Cross multiply
    9,691.92x = 14,540.09 × 3,452.59
  4. Step 4: Simplify right side
    9,691.92x = 50,200,970.25
  5. Step 5: Solve for x
    x = 50,200,970.25/9,691.92
  6. Step 6: Final answer
    x = 5,179.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.