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Finding the Fourth Proportional to 6,464.28, 9,691.17 and 6,097.62

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Solution

The fourth proportional to 6,464.28, 9,691.17 and 6,097.62 is: 9,141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.28 : 9,691.17 = 6,097.62 : x
  2. Step 2: Convert to fraction form
    6,464.28/9,691.17 = 6,097.62/x
  3. Step 3: Cross multiply
    6,464.28x = 9,691.17 × 6,097.62
  4. Step 4: Simplify right side
    6,464.28x = 59,093,072.02
  5. Step 5: Solve for x
    x = 59,093,072.02/6,464.28
  6. Step 6: Final answer
    x = 9,141.48

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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.