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Finding the Fourth Proportional to 6,105.80, 9,144.08 and 3,876.88

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Solution

The fourth proportional to 6,105.80, 9,144.08 and 3,876.88 is: 5,806.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.80 : 9,144.08 = 3,876.88 : x
  2. Step 2: Convert to fraction form
    6,105.80/9,144.08 = 3,876.88/x
  3. Step 3: Cross multiply
    6,105.80x = 9,144.08 × 3,876.88
  4. Step 4: Simplify right side
    6,105.80x = 35,450,500.87
  5. Step 5: Solve for x
    x = 35,450,500.87/6,105.80
  6. Step 6: Final answer
    x = 5,806.04

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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.