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Finding the Fourth Proportional to 6,136.96, 9,206.40 and 2,032

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Solution

The fourth proportional to 6,136.96, 9,206.40 and 2,032 is: 3,048.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.96 : 9,206.40 = 2,032 : x
  2. Step 2: Convert to fraction form
    6,136.96/9,206.40 = 2,032/x
  3. Step 3: Cross multiply
    6,136.96x = 9,206.40 × 2,032
  4. Step 4: Simplify right side
    6,136.96x = 18,707,404.80
  5. Step 5: Solve for x
    x = 18,707,404.80/6,136.96
  6. Step 6: Final answer
    x = 3,048.32

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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.