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Finding the Fourth Proportional to 6,461.17, 9,691.79 and 2,565.57

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Solution

The fourth proportional to 6,461.17, 9,691.79 and 2,565.57 is: 3,848.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.17 : 9,691.79 = 2,565.57 : x
  2. Step 2: Convert to fraction form
    6,461.17/9,691.79 = 2,565.57/x
  3. Step 3: Cross multiply
    6,461.17x = 9,691.79 × 2,565.57
  4. Step 4: Simplify right side
    6,461.17x = 24,864,989.19
  5. Step 5: Solve for x
    x = 24,864,989.19/6,461.17
  6. Step 6: Final answer
    x = 3,848.37

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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.