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Finding the Fourth Proportional to 6,605.82, 9,910.89 and 3,142.62

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Solution

The fourth proportional to 6,605.82, 9,910.89 and 3,142.62 is: 4,714.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.82 : 9,910.89 = 3,142.62 : x
  2. Step 2: Convert to fraction form
    6,605.82/9,910.89 = 3,142.62/x
  3. Step 3: Cross multiply
    6,605.82x = 9,910.89 × 3,142.62
  4. Step 4: Simplify right side
    6,605.82x = 31,146,161.13
  5. Step 5: Solve for x
    x = 31,146,161.13/6,605.82
  6. Step 6: Final answer
    x = 4,714.96

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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.