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Finding the Fourth Proportional to 6,242.25, 8,614.44 and 3,447.75

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Solution

The fourth proportional to 6,242.25, 8,614.44 and 3,447.75 is: 4,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.25 : 8,614.44 = 3,447.75 : x
  2. Step 2: Convert to fraction form
    6,242.25/8,614.44 = 3,447.75/x
  3. Step 3: Cross multiply
    6,242.25x = 8,614.44 × 3,447.75
  4. Step 4: Simplify right side
    6,242.25x = 29,700,435.51
  5. Step 5: Solve for x
    x = 29,700,435.51/6,242.25
  6. Step 6: Final answer
    x = 4,757.97

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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.