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Finding the Fourth Proportional to 8,474.33, 12,694.14 and 3,964.91

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Solution

The fourth proportional to 8,474.33, 12,694.14 and 3,964.91 is: 5,939.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.33 : 12,694.14 = 3,964.91 : x
  2. Step 2: Convert to fraction form
    8,474.33/12,694.14 = 3,964.91/x
  3. Step 3: Cross multiply
    8,474.33x = 12,694.14 × 3,964.91
  4. Step 4: Simplify right side
    8,474.33x = 50,331,059.16
  5. Step 5: Solve for x
    x = 50,331,059.16/8,474.33
  6. Step 6: Final answer
    x = 5,939.24

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Why These Related Problems?

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