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Finding the Fourth Proportional to 9,212.57, 13,819.76 and 3,664.67

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Solution

The fourth proportional to 9,212.57, 13,819.76 and 3,664.67 is: 5,497.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.57 : 13,819.76 = 3,664.67 : x
  2. Step 2: Convert to fraction form
    9,212.57/13,819.76 = 3,664.67/x
  3. Step 3: Cross multiply
    9,212.57x = 13,819.76 × 3,664.67
  4. Step 4: Simplify right side
    9,212.57x = 50,644,859.88
  5. Step 5: Solve for x
    x = 50,644,859.88/9,212.57
  6. Step 6: Final answer
    x = 5,497.37

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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.