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Finding the Fourth Proportional to 6,242.25, 8,614.31 and 3,447.93

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Solution

The fourth proportional to 6,242.25, 8,614.31 and 3,447.93 is: 4,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.25 : 8,614.31 = 3,447.93 : x
  2. Step 2: Convert to fraction form
    6,242.25/8,614.31 = 3,447.93/x
  3. Step 3: Cross multiply
    6,242.25x = 8,614.31 × 3,447.93
  4. Step 4: Simplify right side
    6,242.25x = 29,701,520.64
  5. Step 5: Solve for x
    x = 29,701,520.64/6,242.25
  6. Step 6: Final answer
    x = 4,758.14

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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.