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Finding the Fourth Proportional to 6,309.62, 9,463.67 and 2,611.40

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Solution

The fourth proportional to 6,309.62, 9,463.67 and 2,611.40 is: 3,916.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.62 : 9,463.67 = 2,611.40 : x
  2. Step 2: Convert to fraction form
    6,309.62/9,463.67 = 2,611.40/x
  3. Step 3: Cross multiply
    6,309.62x = 9,463.67 × 2,611.40
  4. Step 4: Simplify right side
    6,309.62x = 24,713,414.78
  5. Step 5: Solve for x
    x = 24,713,414.78/6,309.62
  6. Step 6: Final answer
    x = 3,916.79

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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.