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Finding the Fourth Proportional to 6,136.68, 9,201.72 and 2,438.76

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Solution

The fourth proportional to 6,136.68, 9,201.72 and 2,438.76 is: 3,656.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.68 : 9,201.72 = 2,438.76 : x
  2. Step 2: Convert to fraction form
    6,136.68/9,201.72 = 2,438.76/x
  3. Step 3: Cross multiply
    6,136.68x = 9,201.72 × 2,438.76
  4. Step 4: Simplify right side
    6,136.68x = 22,440,786.67
  5. Step 5: Solve for x
    x = 22,440,786.67/6,136.68
  6. Step 6: Final answer
    x = 3,656.83

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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.