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Finding the Fourth Proportional to 6,144.30, 9,218.78 and 3,680.89

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Solution

The fourth proportional to 6,144.30, 9,218.78 and 3,680.89 is: 5,522.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.30 : 9,218.78 = 3,680.89 : x
  2. Step 2: Convert to fraction form
    6,144.30/9,218.78 = 3,680.89/x
  3. Step 3: Cross multiply
    6,144.30x = 9,218.78 × 3,680.89
  4. Step 4: Simplify right side
    6,144.30x = 33,933,301.27
  5. Step 5: Solve for x
    x = 33,933,301.27/6,144.30
  6. Step 6: Final answer
    x = 5,522.73

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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.