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Finding the Fourth Proportional to 9,304.32, 13,951.08 and 3,753.12

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Solution

The fourth proportional to 9,304.32, 13,951.08 and 3,753.12 is: 5,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.32 : 13,951.08 = 3,753.12 : x
  2. Step 2: Convert to fraction form
    9,304.32/13,951.08 = 3,753.12/x
  3. Step 3: Cross multiply
    9,304.32x = 13,951.08 × 3,753.12
  4. Step 4: Simplify right side
    9,304.32x = 52,360,077.37
  5. Step 5: Solve for x
    x = 52,360,077.37/9,304.32
  6. Step 6: Final answer
    x = 5,627.50

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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.