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Finding the Fourth Proportional to 6,136.41, 9,199.02 and 2,238.09

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Solution

The fourth proportional to 6,136.41, 9,199.02 and 2,238.09 is: 3,355.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.41 : 9,199.02 = 2,238.09 : x
  2. Step 2: Convert to fraction form
    6,136.41/9,199.02 = 2,238.09/x
  3. Step 3: Cross multiply
    6,136.41x = 9,199.02 × 2,238.09
  4. Step 4: Simplify right side
    6,136.41x = 20,588,234.67
  5. Step 5: Solve for x
    x = 20,588,234.67/6,136.41
  6. Step 6: Final answer
    x = 3,355.09

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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.