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Finding the Fourth Proportional to 7,161.14, 9,882.06 and 4,329.20

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Solution

The fourth proportional to 7,161.14, 9,882.06 and 4,329.20 is: 5,974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.14 : 9,882.06 = 4,329.20 : x
  2. Step 2: Convert to fraction form
    7,161.14/9,882.06 = 4,329.20/x
  3. Step 3: Cross multiply
    7,161.14x = 9,882.06 × 4,329.20
  4. Step 4: Simplify right side
    7,161.14x = 42,781,414.15
  5. Step 5: Solve for x
    x = 42,781,414.15/7,161.14
  6. Step 6: Final answer
    x = 5,974.11

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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.