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Finding the Fourth Proportional to 6,123.47, 8,452.96 and 4,136.72

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Solution

The fourth proportional to 6,123.47, 8,452.96 and 4,136.72 is: 5,710.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.47 : 8,452.96 = 4,136.72 : x
  2. Step 2: Convert to fraction form
    6,123.47/8,452.96 = 4,136.72/x
  3. Step 3: Cross multiply
    6,123.47x = 8,452.96 × 4,136.72
  4. Step 4: Simplify right side
    6,123.47x = 34,967,476.08
  5. Step 5: Solve for x
    x = 34,967,476.08/6,123.47
  6. Step 6: Final answer
    x = 5,710.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.