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Finding the Fourth Proportional to 9,176.76, 13,765.11 and 3,627.24

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Solution

The fourth proportional to 9,176.76, 13,765.11 and 3,627.24 is: 5,440.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.76 : 13,765.11 = 3,627.24 : x
  2. Step 2: Convert to fraction form
    9,176.76/13,765.11 = 3,627.24/x
  3. Step 3: Cross multiply
    9,176.76x = 13,765.11 × 3,627.24
  4. Step 4: Simplify right side
    9,176.76x = 49,929,357.60
  5. Step 5: Solve for x
    x = 49,929,357.60/9,176.76
  6. Step 6: Final answer
    x = 5,440.85

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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.