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Finding the Fourth Proportional to 6,527.36, 9,792.12 and 2,144.84

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Solution

The fourth proportional to 6,527.36, 9,792.12 and 2,144.84 is: 3,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.36 : 9,792.12 = 2,144.84 : x
  2. Step 2: Convert to fraction form
    6,527.36/9,792.12 = 2,144.84/x
  3. Step 3: Cross multiply
    6,527.36x = 9,792.12 × 2,144.84
  4. Step 4: Simplify right side
    6,527.36x = 21,002,530.66
  5. Step 5: Solve for x
    x = 21,002,530.66/6,527.36
  6. Step 6: Final answer
    x = 3,217.61

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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.