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Finding the Fourth Proportional to 9,668.97, 13,337.06 and 8,531.73

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Solution

The fourth proportional to 9,668.97, 13,337.06 and 8,531.73 is: 11,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.97 : 13,337.06 = 8,531.73 : x
  2. Step 2: Convert to fraction form
    9,668.97/13,337.06 = 8,531.73/x
  3. Step 3: Cross multiply
    9,668.97x = 13,337.06 × 8,531.73
  4. Step 4: Simplify right side
    9,668.97x = 113,788,152.26
  5. Step 5: Solve for x
    x = 113,788,152.26/9,668.97
  6. Step 6: Final answer
    x = 11,768.38

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Why These Related Problems?

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