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Finding the Fourth Proportional to 8,967.92, 13,441.92 and 6,769.52

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Solution

The fourth proportional to 8,967.92, 13,441.92 and 6,769.52 is: 10,146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,967.92 : 13,441.92 = 6,769.52 : x
  2. Step 2: Convert to fraction form
    8,967.92/13,441.92 = 6,769.52/x
  3. Step 3: Cross multiply
    8,967.92x = 13,441.92 × 6,769.52
  4. Step 4: Simplify right side
    8,967.92x = 90,995,346.28
  5. Step 5: Solve for x
    x = 90,995,346.28/8,967.92
  6. Step 6: Final answer
    x = 10,146.76

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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.