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Finding the Fourth Proportional to 6,096.48, 9,136.62 and 2,197.14

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Solution

The fourth proportional to 6,096.48, 9,136.62 and 2,197.14 is: 3,292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.48 : 9,136.62 = 2,197.14 : x
  2. Step 2: Convert to fraction form
    6,096.48/9,136.62 = 2,197.14/x
  3. Step 3: Cross multiply
    6,096.48x = 9,136.62 × 2,197.14
  4. Step 4: Simplify right side
    6,096.48x = 20,074,433.27
  5. Step 5: Solve for x
    x = 20,074,433.27/6,096.48
  6. Step 6: Final answer
    x = 3,292.79

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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.