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Finding the Fourth Proportional to 6,136.44, 9,206.01 and 2,240.82

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Solution

The fourth proportional to 6,136.44, 9,206.01 and 2,240.82 is: 3,361.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.44 : 9,206.01 = 2,240.82 : x
  2. Step 2: Convert to fraction form
    6,136.44/9,206.01 = 2,240.82/x
  3. Step 3: Cross multiply
    6,136.44x = 9,206.01 × 2,240.82
  4. Step 4: Simplify right side
    6,136.44x = 20,629,011.33
  5. Step 5: Solve for x
    x = 20,629,011.33/6,136.44
  6. Step 6: Final answer
    x = 3,361.72

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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.