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Finding the Fourth Proportional to 9,096, 13,644 and 3,627.84

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Solution

The fourth proportional to 9,096, 13,644 and 3,627.84 is: 5,441.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096 : 13,644 = 3,627.84 : x
  2. Step 2: Convert to fraction form
    9,096/13,644 = 3,627.84/x
  3. Step 3: Cross multiply
    9,096x = 13,644 × 3,627.84
  4. Step 4: Simplify right side
    9,096x = 49,498,248.96
  5. Step 5: Solve for x
    x = 49,498,248.96/9,096
  6. Step 6: Final answer
    x = 5,441.76

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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.