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Finding the Fourth Proportional to 6,605.57, 9,899.11 and 4,747.97

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Solution

The fourth proportional to 6,605.57, 9,899.11 and 4,747.97 is: 7,115.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.57 : 9,899.11 = 4,747.97 : x
  2. Step 2: Convert to fraction form
    6,605.57/9,899.11 = 4,747.97/x
  3. Step 3: Cross multiply
    6,605.57x = 9,899.11 × 4,747.97
  4. Step 4: Simplify right side
    6,605.57x = 47,000,677.31
  5. Step 5: Solve for x
    x = 47,000,677.31/6,605.57
  6. Step 6: Final answer
    x = 7,115.31

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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.