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Finding the Fourth Proportional to 6,136.89, 9,205.11 and 1,977.12

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Solution

The fourth proportional to 6,136.89, 9,205.11 and 1,977.12 is: 2,965.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.89 : 9,205.11 = 1,977.12 : x
  2. Step 2: Convert to fraction form
    6,136.89/9,205.11 = 1,977.12/x
  3. Step 3: Cross multiply
    6,136.89x = 9,205.11 × 1,977.12
  4. Step 4: Simplify right side
    6,136.89x = 18,199,607.08
  5. Step 5: Solve for x
    x = 18,199,607.08/6,136.89
  6. Step 6: Final answer
    x = 2,965.61

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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.