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Finding the Fourth Proportional to 6,178.80, 9,266.28 and 2,229.54

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Solution

The fourth proportional to 6,178.80, 9,266.28 and 2,229.54 is: 3,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.80 : 9,266.28 = 2,229.54 : x
  2. Step 2: Convert to fraction form
    6,178.80/9,266.28 = 2,229.54/x
  3. Step 3: Cross multiply
    6,178.80x = 9,266.28 × 2,229.54
  4. Step 4: Simplify right side
    6,178.80x = 20,659,524.86
  5. Step 5: Solve for x
    x = 20,659,524.86/6,178.80
  6. Step 6: Final answer
    x = 3,343.62

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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.