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Finding the Fourth Proportional to 9,759.39, 13,469.86 and 7,630.71

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Solution

The fourth proportional to 9,759.39, 13,469.86 and 7,630.71 is: 10,531.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.39 : 13,469.86 = 7,630.71 : x
  2. Step 2: Convert to fraction form
    9,759.39/13,469.86 = 7,630.71/x
  3. Step 3: Cross multiply
    9,759.39x = 13,469.86 × 7,630.71
  4. Step 4: Simplify right side
    9,759.39x = 102,784,554.43
  5. Step 5: Solve for x
    x = 102,784,554.43/9,759.39
  6. Step 6: Final answer
    x = 10,531.87

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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.