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Finding the Fourth Proportional to 6,136.55, 9,205.34 and 2,186.28

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Solution

The fourth proportional to 6,136.55, 9,205.34 and 2,186.28 is: 3,279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.55 : 9,205.34 = 2,186.28 : x
  2. Step 2: Convert to fraction form
    6,136.55/9,205.34 = 2,186.28/x
  3. Step 3: Cross multiply
    6,136.55x = 9,205.34 × 2,186.28
  4. Step 4: Simplify right side
    6,136.55x = 20,125,439.80
  5. Step 5: Solve for x
    x = 20,125,439.80/6,136.55
  6. Step 6: Final answer
    x = 3,279.60

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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.