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Finding the Fourth Proportional to 7,171.20, 9,892.80 and 4,146.12

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Solution

The fourth proportional to 7,171.20, 9,892.80 and 4,146.12 is: 5,719.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.20 : 9,892.80 = 4,146.12 : x
  2. Step 2: Convert to fraction form
    7,171.20/9,892.80 = 4,146.12/x
  3. Step 3: Cross multiply
    7,171.20x = 9,892.80 × 4,146.12
  4. Step 4: Simplify right side
    7,171.20x = 41,016,735.94
  5. Step 5: Solve for x
    x = 41,016,735.94/7,171.20
  6. Step 6: Final answer
    x = 5,719.65

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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.