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Finding the Fourth Proportional to 6,454.72, 9,691.80 and 3,684.52

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Solution

The fourth proportional to 6,454.72, 9,691.80 and 3,684.52 is: 5,532.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.72 : 9,691.80 = 3,684.52 : x
  2. Step 2: Convert to fraction form
    6,454.72/9,691.80 = 3,684.52/x
  3. Step 3: Cross multiply
    6,454.72x = 9,691.80 × 3,684.52
  4. Step 4: Simplify right side
    6,454.72x = 35,709,630.94
  5. Step 5: Solve for x
    x = 35,709,630.94/6,454.72
  6. Step 6: Final answer
    x = 5,532.33

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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.