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Finding the Fourth Proportional to 9,304.92, 13,956.12 and 2,729.88

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Solution

The fourth proportional to 9,304.92, 13,956.12 and 2,729.88 is: 4,094.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.92 : 13,956.12 = 2,729.88 : x
  2. Step 2: Convert to fraction form
    9,304.92/13,956.12 = 2,729.88/x
  3. Step 3: Cross multiply
    9,304.92x = 13,956.12 × 2,729.88
  4. Step 4: Simplify right side
    9,304.92x = 38,098,532.87
  5. Step 5: Solve for x
    x = 38,098,532.87/9,304.92
  6. Step 6: Final answer
    x = 4,094.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.