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Finding the Fourth Proportional to 6,224.32, 9,330.24 and 3,917.44

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Solution

The fourth proportional to 6,224.32, 9,330.24 and 3,917.44 is: 5,872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.32 : 9,330.24 = 3,917.44 : x
  2. Step 2: Convert to fraction form
    6,224.32/9,330.24 = 3,917.44/x
  3. Step 3: Cross multiply
    6,224.32x = 9,330.24 × 3,917.44
  4. Step 4: Simplify right side
    6,224.32x = 36,550,655.39
  5. Step 5: Solve for x
    x = 36,550,655.39/6,224.32
  6. Step 6: Final answer
    x = 5,872.23

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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.