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Finding the Fourth Proportional to 6,463.10, 9,675.52 and 3,989.97

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Solution

The fourth proportional to 6,463.10, 9,675.52 and 3,989.97 is: 5,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.10 : 9,675.52 = 3,989.97 : x
  2. Step 2: Convert to fraction form
    6,463.10/9,675.52 = 3,989.97/x
  3. Step 3: Cross multiply
    6,463.10x = 9,675.52 × 3,989.97
  4. Step 4: Simplify right side
    6,463.10x = 38,605,024.56
  5. Step 5: Solve for x
    x = 38,605,024.56/6,463.10
  6. Step 6: Final answer
    x = 5,973.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.