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Finding the Fourth Proportional to 6,092.53, 9,136.93 and 2,582.47

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Solution

The fourth proportional to 6,092.53, 9,136.93 and 2,582.47 is: 3,872.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.53 : 9,136.93 = 2,582.47 : x
  2. Step 2: Convert to fraction form
    6,092.53/9,136.93 = 2,582.47/x
  3. Step 3: Cross multiply
    6,092.53x = 9,136.93 × 2,582.47
  4. Step 4: Simplify right side
    6,092.53x = 23,595,839.42
  5. Step 5: Solve for x
    x = 23,595,839.42/6,092.53
  6. Step 6: Final answer
    x = 3,872.91

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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.