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Finding the Fourth Proportional to 8,229.50, 12,336.96 and 6,146.99

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Solution

The fourth proportional to 8,229.50, 12,336.96 and 6,146.99 is: 9,215.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.50 : 12,336.96 = 6,146.99 : x
  2. Step 2: Convert to fraction form
    8,229.50/12,336.96 = 6,146.99/x
  3. Step 3: Cross multiply
    8,229.50x = 12,336.96 × 6,146.99
  4. Step 4: Simplify right side
    8,229.50x = 75,835,215.96
  5. Step 5: Solve for x
    x = 75,835,215.96/8,229.50
  6. Step 6: Final answer
    x = 9,215.04

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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.