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Finding the Fourth Proportional to 6,136.56, 9,205.18 and 1,976.27

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Solution

The fourth proportional to 6,136.56, 9,205.18 and 1,976.27 is: 2,964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.56 : 9,205.18 = 1,976.27 : x
  2. Step 2: Convert to fraction form
    6,136.56/9,205.18 = 1,976.27/x
  3. Step 3: Cross multiply
    6,136.56x = 9,205.18 × 1,976.27
  4. Step 4: Simplify right side
    6,136.56x = 18,191,870.11
  5. Step 5: Solve for x
    x = 18,191,870.11/6,136.56
  6. Step 6: Final answer
    x = 2,964.51

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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.