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Finding the Fourth Proportional to 6,610.66, 9,115.23 and 4,217.43

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Solution

The fourth proportional to 6,610.66, 9,115.23 and 4,217.43 is: 5,815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,610.66 : 9,115.23 = 4,217.43 : x
  2. Step 2: Convert to fraction form
    6,610.66/9,115.23 = 4,217.43/x
  3. Step 3: Cross multiply
    6,610.66x = 9,115.23 × 4,217.43
  4. Step 4: Simplify right side
    6,610.66x = 38,442,844.46
  5. Step 5: Solve for x
    x = 38,442,844.46/6,610.66
  6. Step 6: Final answer
    x = 5,815.28

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