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Finding the Fourth Proportional to 6,105, 9,159.12 and 2,641.44

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Solution

The fourth proportional to 6,105, 9,159.12 and 2,641.44 is: 3,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105 : 9,159.12 = 2,641.44 : x
  2. Step 2: Convert to fraction form
    6,105/9,159.12 = 2,641.44/x
  3. Step 3: Cross multiply
    6,105x = 9,159.12 × 2,641.44
  4. Step 4: Simplify right side
    6,105x = 24,193,265.93
  5. Step 5: Solve for x
    x = 24,193,265.93/6,105
  6. Step 6: Final answer
    x = 3,962.86

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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.