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Finding the Fourth Proportional to 6,136.85, 9,205.27 and 1,519.85

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Solution

The fourth proportional to 6,136.85, 9,205.27 and 1,519.85 is: 2,279.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.85 : 9,205.27 = 1,519.85 : x
  2. Step 2: Convert to fraction form
    6,136.85/9,205.27 = 1,519.85/x
  3. Step 3: Cross multiply
    6,136.85x = 9,205.27 × 1,519.85
  4. Step 4: Simplify right side
    6,136.85x = 13,990,629.61
  5. Step 5: Solve for x
    x = 13,990,629.61/6,136.85
  6. Step 6: Final answer
    x = 2,279.77

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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.