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Finding the Fourth Proportional to 6,607.97, 9,116.65 and 3,773.31

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Solution

The fourth proportional to 6,607.97, 9,116.65 and 3,773.31 is: 5,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,607.97 : 9,116.65 = 3,773.31 : x
  2. Step 2: Convert to fraction form
    6,607.97/9,116.65 = 3,773.31/x
  3. Step 3: Cross multiply
    6,607.97x = 9,116.65 × 3,773.31
  4. Step 4: Simplify right side
    6,607.97x = 34,399,946.61
  5. Step 5: Solve for x
    x = 34,399,946.61/6,607.97
  6. Step 6: Final answer
    x = 5,205.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.