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Finding the Fourth Proportional to 8,537.92, 12,793.92 and 6,336.34

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Solution

The fourth proportional to 8,537.92, 12,793.92 and 6,336.34 is: 9,494.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.92 : 12,793.92 = 6,336.34 : x
  2. Step 2: Convert to fraction form
    8,537.92/12,793.92 = 6,336.34/x
  3. Step 3: Cross multiply
    8,537.92x = 12,793.92 × 6,336.34
  4. Step 4: Simplify right side
    8,537.92x = 81,066,627.05
  5. Step 5: Solve for x
    x = 81,066,627.05/8,537.92
  6. Step 6: Final answer
    x = 9,494.89

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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.