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Finding the Fourth Proportional to 9,493.20, 14,240.84 and 5,819.04

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Solution

The fourth proportional to 9,493.20, 14,240.84 and 5,819.04 is: 8,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.20 : 14,240.84 = 5,819.04 : x
  2. Step 2: Convert to fraction form
    9,493.20/14,240.84 = 5,819.04/x
  3. Step 3: Cross multiply
    9,493.20x = 14,240.84 × 5,819.04
  4. Step 4: Simplify right side
    9,493.20x = 82,867,988.50
  5. Step 5: Solve for x
    x = 82,867,988.50/9,493.20
  6. Step 6: Final answer
    x = 8,729.19

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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.