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Finding the Fourth Proportional to 6,520.46, 9,781.93 and 2,138.18

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Solution

The fourth proportional to 6,520.46, 9,781.93 and 2,138.18 is: 3,207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.46 : 9,781.93 = 2,138.18 : x
  2. Step 2: Convert to fraction form
    6,520.46/9,781.93 = 2,138.18/x
  3. Step 3: Cross multiply
    6,520.46x = 9,781.93 × 2,138.18
  4. Step 4: Simplify right side
    6,520.46x = 20,915,527.09
  5. Step 5: Solve for x
    x = 20,915,527.09/6,520.46
  6. Step 6: Final answer
    x = 3,207.68

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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.