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Finding the Fourth Proportional to 6,154.55, 9,229.95 and 4,046.09

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Solution

The fourth proportional to 6,154.55, 9,229.95 and 4,046.09 is: 6,067.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.55 : 9,229.95 = 4,046.09 : x
  2. Step 2: Convert to fraction form
    6,154.55/9,229.95 = 4,046.09/x
  3. Step 3: Cross multiply
    6,154.55x = 9,229.95 × 4,046.09
  4. Step 4: Simplify right side
    6,154.55x = 37,345,229.04
  5. Step 5: Solve for x
    x = 37,345,229.04/6,154.55
  6. Step 6: Final answer
    x = 6,067.90

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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.