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Finding the Fourth Proportional to 6,227.60, 9,341.76 and 2,529.76

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Solution

The fourth proportional to 6,227.60, 9,341.76 and 2,529.76 is: 3,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.60 : 9,341.76 = 2,529.76 : x
  2. Step 2: Convert to fraction form
    6,227.60/9,341.76 = 2,529.76/x
  3. Step 3: Cross multiply
    6,227.60x = 9,341.76 × 2,529.76
  4. Step 4: Simplify right side
    6,227.60x = 23,632,410.78
  5. Step 5: Solve for x
    x = 23,632,410.78/6,227.60
  6. Step 6: Final answer
    x = 3,794.79

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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.