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Finding the Fourth Proportional to 9,792.67, 13,516.97 and 6,255.88

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Solution

The fourth proportional to 9,792.67, 13,516.97 and 6,255.88 is: 8,635.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.67 : 13,516.97 = 6,255.88 : x
  2. Step 2: Convert to fraction form
    9,792.67/13,516.97 = 6,255.88/x
  3. Step 3: Cross multiply
    9,792.67x = 13,516.97 × 6,255.88
  4. Step 4: Simplify right side
    9,792.67x = 84,560,584.04
  5. Step 5: Solve for x
    x = 84,560,584.04/9,792.67
  6. Step 6: Final answer
    x = 8,635.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.