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Finding the Fourth Proportional to 6,136.43, 9,199.01 and 2,238.09

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Solution

The fourth proportional to 6,136.43, 9,199.01 and 2,238.09 is: 3,355.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.43 : 9,199.01 = 2,238.09 : x
  2. Step 2: Convert to fraction form
    6,136.43/9,199.01 = 2,238.09/x
  3. Step 3: Cross multiply
    6,136.43x = 9,199.01 × 2,238.09
  4. Step 4: Simplify right side
    6,136.43x = 20,588,201.10
  5. Step 5: Solve for x
    x = 20,588,201.10/6,136.43
  6. Step 6: Final answer
    x = 3,355.08

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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.