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Finding the Fourth Proportional to 9,836.68, 13,564.98 and 6,481.48

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Solution

The fourth proportional to 9,836.68, 13,564.98 and 6,481.48 is: 8,938.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.68 : 13,564.98 = 6,481.48 : x
  2. Step 2: Convert to fraction form
    9,836.68/13,564.98 = 6,481.48/x
  3. Step 3: Cross multiply
    9,836.68x = 13,564.98 × 6,481.48
  4. Step 4: Simplify right side
    9,836.68x = 87,921,146.57
  5. Step 5: Solve for x
    x = 87,921,146.57/9,836.68
  6. Step 6: Final answer
    x = 8,938.09

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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.