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Finding the Fourth Proportional to 6,542.32, 9,806.66 and 2,841.42

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Solution

The fourth proportional to 6,542.32, 9,806.66 and 2,841.42 is: 4,259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.32 : 9,806.66 = 2,841.42 : x
  2. Step 2: Convert to fraction form
    6,542.32/9,806.66 = 2,841.42/x
  3. Step 3: Cross multiply
    6,542.32x = 9,806.66 × 2,841.42
  4. Step 4: Simplify right side
    6,542.32x = 27,864,839.86
  5. Step 5: Solve for x
    x = 27,864,839.86/6,542.32
  6. Step 6: Final answer
    x = 4,259.17

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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.