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Finding the Fourth Proportional to 9,217.32, 13,819.02 and 4,770.21

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Solution

The fourth proportional to 9,217.32, 13,819.02 and 4,770.21 is: 7,151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,217.32 : 13,819.02 = 4,770.21 : x
  2. Step 2: Convert to fraction form
    9,217.32/13,819.02 = 4,770.21/x
  3. Step 3: Cross multiply
    9,217.32x = 13,819.02 × 4,770.21
  4. Step 4: Simplify right side
    9,217.32x = 65,919,627.39
  5. Step 5: Solve for x
    x = 65,919,627.39/9,217.32
  6. Step 6: Final answer
    x = 7,151.71

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