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Finding the Fourth Proportional to 9,668.89, 13,335.46 and 6,481.09

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Solution

The fourth proportional to 9,668.89, 13,335.46 and 6,481.09 is: 8,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.89 : 13,335.46 = 6,481.09 : x
  2. Step 2: Convert to fraction form
    9,668.89/13,335.46 = 6,481.09/x
  3. Step 3: Cross multiply
    9,668.89x = 13,335.46 × 6,481.09
  4. Step 4: Simplify right side
    9,668.89x = 86,428,316.45
  5. Step 5: Solve for x
    x = 86,428,316.45/9,668.89
  6. Step 6: Final answer
    x = 8,938.80

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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.