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Finding the Fourth Proportional to 9,306.32, 13,954.08 and 3,755.12

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Solution

The fourth proportional to 9,306.32, 13,954.08 and 3,755.12 is: 5,630.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.32 : 13,954.08 = 3,755.12 : x
  2. Step 2: Convert to fraction form
    9,306.32/13,954.08 = 3,755.12/x
  3. Step 3: Cross multiply
    9,306.32x = 13,954.08 × 3,755.12
  4. Step 4: Simplify right side
    9,306.32x = 52,399,244.89
  5. Step 5: Solve for x
    x = 52,399,244.89/9,306.32
  6. Step 6: Final answer
    x = 5,630.50

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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.