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Finding the Fourth Proportional to 6,136.40, 9,198.12 and 2,673.20

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Solution

The fourth proportional to 6,136.40, 9,198.12 and 2,673.20 is: 4,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.40 : 9,198.12 = 2,673.20 : x
  2. Step 2: Convert to fraction form
    6,136.40/9,198.12 = 2,673.20/x
  3. Step 3: Cross multiply
    6,136.40x = 9,198.12 × 2,673.20
  4. Step 4: Simplify right side
    6,136.40x = 24,588,414.38
  5. Step 5: Solve for x
    x = 24,588,414.38/6,136.40
  6. Step 6: Final answer
    x = 4,006.98

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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.