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Finding the Fourth Proportional to 6,242.24, 8,614.32 and 3,447.74

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Solution

The fourth proportional to 6,242.24, 8,614.32 and 3,447.74 is: 4,757.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.24 : 8,614.32 = 3,447.74 : x
  2. Step 2: Convert to fraction form
    6,242.24/8,614.32 = 3,447.74/x
  3. Step 3: Cross multiply
    6,242.24x = 8,614.32 × 3,447.74
  4. Step 4: Simplify right side
    6,242.24x = 29,699,935.64
  5. Step 5: Solve for x
    x = 29,699,935.64/6,242.24
  6. Step 6: Final answer
    x = 4,757.90

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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.