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Finding the Fourth Proportional to 6,447.43, 8,896.94 and 3,614.22

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Solution

The fourth proportional to 6,447.43, 8,896.94 and 3,614.22 is: 4,987.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.43 : 8,896.94 = 3,614.22 : x
  2. Step 2: Convert to fraction form
    6,447.43/8,896.94 = 3,614.22/x
  3. Step 3: Cross multiply
    6,447.43x = 8,896.94 × 3,614.22
  4. Step 4: Simplify right side
    6,447.43x = 32,155,493.97
  5. Step 5: Solve for x
    x = 32,155,493.97/6,447.43
  6. Step 6: Final answer
    x = 4,987.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.