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Finding the Fourth Proportional to 6,224.78, 9,327.44 and 3,911.42

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Solution

The fourth proportional to 6,224.78, 9,327.44 and 3,911.42 is: 5,861.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.78 : 9,327.44 = 3,911.42 : x
  2. Step 2: Convert to fraction form
    6,224.78/9,327.44 = 3,911.42/x
  3. Step 3: Cross multiply
    6,224.78x = 9,327.44 × 3,911.42
  4. Step 4: Simplify right side
    6,224.78x = 36,483,546.46
  5. Step 5: Solve for x
    x = 36,483,546.46/6,224.78
  6. Step 6: Final answer
    x = 5,861.02

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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.