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Finding the Fourth Proportional to 9,679.80, 14,524.50 and 3,836.28

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Solution

The fourth proportional to 9,679.80, 14,524.50 and 3,836.28 is: 5,756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.80 : 14,524.50 = 3,836.28 : x
  2. Step 2: Convert to fraction form
    9,679.80/14,524.50 = 3,836.28/x
  3. Step 3: Cross multiply
    9,679.80x = 14,524.50 × 3,836.28
  4. Step 4: Simplify right side
    9,679.80x = 55,720,048.86
  5. Step 5: Solve for x
    x = 55,720,048.86/9,679.80
  6. Step 6: Final answer
    x = 5,756.32

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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.