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Finding the Fourth Proportional to 8,195.54, 12,282.09 and 6,192.58

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Solution

The fourth proportional to 8,195.54, 12,282.09 and 6,192.58 is: 9,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.54 : 12,282.09 = 6,192.58 : x
  2. Step 2: Convert to fraction form
    8,195.54/12,282.09 = 6,192.58/x
  3. Step 3: Cross multiply
    8,195.54x = 12,282.09 × 6,192.58
  4. Step 4: Simplify right side
    8,195.54x = 76,057,793.93
  5. Step 5: Solve for x
    x = 76,057,793.93/8,195.54
  6. Step 6: Final answer
    x = 9,280.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.