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Finding the Fourth Proportional to 6,046.65, 9,067.68 and 3,411.32

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Solution

The fourth proportional to 6,046.65, 9,067.68 and 3,411.32 is: 5,115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.65 : 9,067.68 = 3,411.32 : x
  2. Step 2: Convert to fraction form
    6,046.65/9,067.68 = 3,411.32/x
  3. Step 3: Cross multiply
    6,046.65x = 9,067.68 × 3,411.32
  4. Step 4: Simplify right side
    6,046.65x = 30,932,712.80
  5. Step 5: Solve for x
    x = 30,932,712.80/6,046.65
  6. Step 6: Final answer
    x = 5,115.68

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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.