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Finding the Fourth Proportional to 6,136.42, 9,204.72 and 2,241.22

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Solution

The fourth proportional to 6,136.42, 9,204.72 and 2,241.22 is: 3,361.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.42 : 9,204.72 = 2,241.22 : x
  2. Step 2: Convert to fraction form
    6,136.42/9,204.72 = 2,241.22/x
  3. Step 3: Cross multiply
    6,136.42x = 9,204.72 × 2,241.22
  4. Step 4: Simplify right side
    6,136.42x = 20,629,802.56
  5. Step 5: Solve for x
    x = 20,629,802.56/6,136.42
  6. Step 6: Final answer
    x = 3,361.86

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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.