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Finding the Fourth Proportional to 6,564.97, 9,841.31 and 2,864.17

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Solution

The fourth proportional to 6,564.97, 9,841.31 and 2,864.17 is: 4,293.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.97 : 9,841.31 = 2,864.17 : x
  2. Step 2: Convert to fraction form
    6,564.97/9,841.31 = 2,864.17/x
  3. Step 3: Cross multiply
    6,564.97x = 9,841.31 × 2,864.17
  4. Step 4: Simplify right side
    6,564.97x = 28,187,121.34
  5. Step 5: Solve for x
    x = 28,187,121.34/6,564.97
  6. Step 6: Final answer
    x = 4,293.57

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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.