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Finding the Fourth Proportional to 8,144.01, 12,206.43 and 3,462.62

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Solution

The fourth proportional to 8,144.01, 12,206.43 and 3,462.62 is: 5,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.01 : 12,206.43 = 3,462.62 : x
  2. Step 2: Convert to fraction form
    8,144.01/12,206.43 = 3,462.62/x
  3. Step 3: Cross multiply
    8,144.01x = 12,206.43 × 3,462.62
  4. Step 4: Simplify right side
    8,144.01x = 42,266,167.61
  5. Step 5: Solve for x
    x = 42,266,167.61/8,144.01
  6. Step 6: Final answer
    x = 5,189.85

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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.