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Finding the Fourth Proportional to 7,025.46, 9,691.82 and 4,191.24

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Solution

The fourth proportional to 7,025.46, 9,691.82 and 4,191.24 is: 5,781.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,025.46 : 9,691.82 = 4,191.24 : x
  2. Step 2: Convert to fraction form
    7,025.46/9,691.82 = 4,191.24/x
  3. Step 3: Cross multiply
    7,025.46x = 9,691.82 × 4,191.24
  4. Step 4: Simplify right side
    7,025.46x = 40,620,743.66
  5. Step 5: Solve for x
    x = 40,620,743.66/7,025.46
  6. Step 6: Final answer
    x = 5,781.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.