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Finding the Fourth Proportional to 8,154.44, 12,204.90 and 6,195.88

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Solution

The fourth proportional to 8,154.44, 12,204.90 and 6,195.88 is: 9,273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.44 : 12,204.90 = 6,195.88 : x
  2. Step 2: Convert to fraction form
    8,154.44/12,204.90 = 6,195.88/x
  3. Step 3: Cross multiply
    8,154.44x = 12,204.90 × 6,195.88
  4. Step 4: Simplify right side
    8,154.44x = 75,620,095.81
  5. Step 5: Solve for x
    x = 75,620,095.81/8,154.44
  6. Step 6: Final answer
    x = 9,273.49

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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.