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Finding the Fourth Proportional to 6,136.49, 9,198.12 and 3,012.86

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Solution

The fourth proportional to 6,136.49, 9,198.12 and 3,012.86 is: 4,516.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.49 : 9,198.12 = 3,012.86 : x
  2. Step 2: Convert to fraction form
    6,136.49/9,198.12 = 3,012.86/x
  3. Step 3: Cross multiply
    6,136.49x = 9,198.12 × 3,012.86
  4. Step 4: Simplify right side
    6,136.49x = 27,712,647.82
  5. Step 5: Solve for x
    x = 27,712,647.82/6,136.49
  6. Step 6: Final answer
    x = 4,516.04

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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.