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Finding the Fourth Proportional to 6,517.84, 9,778.83 and 2,134.30

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Solution

The fourth proportional to 6,517.84, 9,778.83 and 2,134.30 is: 3,202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.84 : 9,778.83 = 2,134.30 : x
  2. Step 2: Convert to fraction form
    6,517.84/9,778.83 = 2,134.30/x
  3. Step 3: Cross multiply
    6,517.84x = 9,778.83 × 2,134.30
  4. Step 4: Simplify right side
    6,517.84x = 20,870,956.87
  5. Step 5: Solve for x
    x = 20,870,956.87/6,517.84
  6. Step 6: Final answer
    x = 3,202.13

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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.