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Finding the Fourth Proportional to 6,136.62, 9,200.05 and 2,671.44

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Solution

The fourth proportional to 6,136.62, 9,200.05 and 2,671.44 is: 4,005.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.62 : 9,200.05 = 2,671.44 : x
  2. Step 2: Convert to fraction form
    6,136.62/9,200.05 = 2,671.44/x
  3. Step 3: Cross multiply
    6,136.62x = 9,200.05 × 2,671.44
  4. Step 4: Simplify right side
    6,136.62x = 24,577,368.21
  5. Step 5: Solve for x
    x = 24,577,368.21/6,136.62
  6. Step 6: Final answer
    x = 4,005.03

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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.