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Finding the Fourth Proportional to 9,960.80, 13,743.36 and 5,766.56

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Solution

The fourth proportional to 9,960.80, 13,743.36 and 5,766.56 is: 7,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.80 : 13,743.36 = 5,766.56 : x
  2. Step 2: Convert to fraction form
    9,960.80/13,743.36 = 5,766.56/x
  3. Step 3: Cross multiply
    9,960.80x = 13,743.36 × 5,766.56
  4. Step 4: Simplify right side
    9,960.80x = 79,251,910.04
  5. Step 5: Solve for x
    x = 79,251,910.04/9,960.80
  6. Step 6: Final answer
    x = 7,956.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.