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Finding the Fourth Proportional to 9,679.68, 14,524.80 and 3,836.48

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Solution

The fourth proportional to 9,679.68, 14,524.80 and 3,836.48 is: 5,756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.68 : 14,524.80 = 3,836.48 : x
  2. Step 2: Convert to fraction form
    9,679.68/14,524.80 = 3,836.48/x
  3. Step 3: Cross multiply
    9,679.68x = 14,524.80 × 3,836.48
  4. Step 4: Simplify right side
    9,679.68x = 55,724,104.70
  5. Step 5: Solve for x
    x = 55,724,104.70/9,679.68
  6. Step 6: Final answer
    x = 5,756.81

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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.