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Finding the Fourth Proportional to 6,213.92, 9,322.52 and 3,614.64

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Solution

The fourth proportional to 6,213.92, 9,322.52 and 3,614.64 is: 5,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.92 : 9,322.52 = 3,614.64 : x
  2. Step 2: Convert to fraction form
    6,213.92/9,322.52 = 3,614.64/x
  3. Step 3: Cross multiply
    6,213.92x = 9,322.52 × 3,614.64
  4. Step 4: Simplify right side
    6,213.92x = 33,697,553.69
  5. Step 5: Solve for x
    x = 33,697,553.69/6,213.92
  6. Step 6: Final answer
    x = 5,422.91

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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.