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Finding the Fourth Proportional to 6,292.62, 9,439.14 and 2,829.88

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Solution

The fourth proportional to 6,292.62, 9,439.14 and 2,829.88 is: 4,244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.62 : 9,439.14 = 2,829.88 : x
  2. Step 2: Convert to fraction form
    6,292.62/9,439.14 = 2,829.88/x
  3. Step 3: Cross multiply
    6,292.62x = 9,439.14 × 2,829.88
  4. Step 4: Simplify right side
    6,292.62x = 26,711,633.50
  5. Step 5: Solve for x
    x = 26,711,633.50/6,292.62
  6. Step 6: Final answer
    x = 4,244.91

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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.