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Finding the Fourth Proportional to 6,229.36, 8,481.36 and 6,209.92

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Solution

The fourth proportional to 6,229.36, 8,481.36 and 6,209.92 is: 8,454.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.36 : 8,481.36 = 6,209.92 : x
  2. Step 2: Convert to fraction form
    6,229.36/8,481.36 = 6,209.92/x
  3. Step 3: Cross multiply
    6,229.36x = 8,481.36 × 6,209.92
  4. Step 4: Simplify right side
    6,229.36x = 52,668,567.09
  5. Step 5: Solve for x
    x = 52,668,567.09/6,229.36
  6. Step 6: Final answer
    x = 8,454.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.