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Finding the Fourth Proportional to 6,136.66, 9,208.78 and 2,674.18

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Solution

The fourth proportional to 6,136.66, 9,208.78 and 2,674.18 is: 4,012.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.66 : 9,208.78 = 2,674.18 : x
  2. Step 2: Convert to fraction form
    6,136.66/9,208.78 = 2,674.18/x
  3. Step 3: Cross multiply
    6,136.66x = 9,208.78 × 2,674.18
  4. Step 4: Simplify right side
    6,136.66x = 24,625,935.30
  5. Step 5: Solve for x
    x = 24,625,935.30/6,136.66
  6. Step 6: Final answer
    x = 4,012.92

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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.