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Finding the Fourth Proportional to 6,361.74, 9,538.97 and 2,200.57

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Solution

The fourth proportional to 6,361.74, 9,538.97 and 2,200.57 is: 3,299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.74 : 9,538.97 = 2,200.57 : x
  2. Step 2: Convert to fraction form
    6,361.74/9,538.97 = 2,200.57/x
  3. Step 3: Cross multiply
    6,361.74x = 9,538.97 × 2,200.57
  4. Step 4: Simplify right side
    6,361.74x = 20,991,136.36
  5. Step 5: Solve for x
    x = 20,991,136.36/6,361.74
  6. Step 6: Final answer
    x = 3,299.59

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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.