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Finding the Fourth Proportional to 6,267.14, 9,401.84 and 3,149.29

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Solution

The fourth proportional to 6,267.14, 9,401.84 and 3,149.29 is: 4,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.14 : 9,401.84 = 3,149.29 : x
  2. Step 2: Convert to fraction form
    6,267.14/9,401.84 = 3,149.29/x
  3. Step 3: Cross multiply
    6,267.14x = 9,401.84 × 3,149.29
  4. Step 4: Simplify right side
    6,267.14x = 29,609,120.69
  5. Step 5: Solve for x
    x = 29,609,120.69/6,267.14
  6. Step 6: Final answer
    x = 4,724.50

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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.