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Finding the Fourth Proportional to 9,894.38, 13,654.29 and 7,378.73

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Solution

The fourth proportional to 9,894.38, 13,654.29 and 7,378.73 is: 10,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.38 : 13,654.29 = 7,378.73 : x
  2. Step 2: Convert to fraction form
    9,894.38/13,654.29 = 7,378.73/x
  3. Step 3: Cross multiply
    9,894.38x = 13,654.29 × 7,378.73
  4. Step 4: Simplify right side
    9,894.38x = 100,751,250.98
  5. Step 5: Solve for x
    x = 100,751,250.98/9,894.38
  6. Step 6: Final answer
    x = 10,182.68

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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.