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Finding the Fourth Proportional to 6,523.97, 9,002.90 and 3,871.31

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Solution

The fourth proportional to 6,523.97, 9,002.90 and 3,871.31 is: 5,342.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.97 : 9,002.90 = 3,871.31 : x
  2. Step 2: Convert to fraction form
    6,523.97/9,002.90 = 3,871.31/x
  3. Step 3: Cross multiply
    6,523.97x = 9,002.90 × 3,871.31
  4. Step 4: Simplify right side
    6,523.97x = 34,853,048.98
  5. Step 5: Solve for x
    x = 34,853,048.98/6,523.97
  6. Step 6: Final answer
    x = 5,342.31

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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.