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Finding the Fourth Proportional to 6,686.78, 9,229.68 and 4,034.36

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Solution

The fourth proportional to 6,686.78, 9,229.68 and 4,034.36 is: 5,568.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.78 : 9,229.68 = 4,034.36 : x
  2. Step 2: Convert to fraction form
    6,686.78/9,229.68 = 4,034.36/x
  3. Step 3: Cross multiply
    6,686.78x = 9,229.68 × 4,034.36
  4. Step 4: Simplify right side
    6,686.78x = 37,235,874.88
  5. Step 5: Solve for x
    x = 37,235,874.88/6,686.78
  6. Step 6: Final answer
    x = 5,568.58

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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.