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Finding the Fourth Proportional to 6,136.34, 8,467.50 and 3,447.86

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Solution

The fourth proportional to 6,136.34, 8,467.50 and 3,447.86 is: 4,757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.34 : 8,467.50 = 3,447.86 : x
  2. Step 2: Convert to fraction form
    6,136.34/8,467.50 = 3,447.86/x
  3. Step 3: Cross multiply
    6,136.34x = 8,467.50 × 3,447.86
  4. Step 4: Simplify right side
    6,136.34x = 29,194,754.55
  5. Step 5: Solve for x
    x = 29,194,754.55/6,136.34
  6. Step 6: Final answer
    x = 4,757.68

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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.