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Finding the Fourth Proportional to 9,905.38, 13,667.28 and 5,873.48

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Solution

The fourth proportional to 9,905.38, 13,667.28 and 5,873.48 is: 8,104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.38 : 13,667.28 = 5,873.48 : x
  2. Step 2: Convert to fraction form
    9,905.38/13,667.28 = 5,873.48/x
  3. Step 3: Cross multiply
    9,905.38x = 13,667.28 × 5,873.48
  4. Step 4: Simplify right side
    9,905.38x = 80,274,495.73
  5. Step 5: Solve for x
    x = 80,274,495.73/9,905.38
  6. Step 6: Final answer
    x = 8,104.13

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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.