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Finding the Fourth Proportional to 9,769.60, 14,620.80 and 5,876.80

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Solution

The fourth proportional to 9,769.60, 14,620.80 and 5,876.80 is: 8,794.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.60 : 14,620.80 = 5,876.80 : x
  2. Step 2: Convert to fraction form
    9,769.60/14,620.80 = 5,876.80/x
  3. Step 3: Cross multiply
    9,769.60x = 14,620.80 × 5,876.80
  4. Step 4: Simplify right side
    9,769.60x = 85,923,517.44
  5. Step 5: Solve for x
    x = 85,923,517.44/9,769.60
  6. Step 6: Final answer
    x = 8,794.99

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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.