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Finding the Fourth Proportional to 6,822.20, 10,234.92 and 3,313.92

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Solution

The fourth proportional to 6,822.20, 10,234.92 and 3,313.92 is: 4,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.20 : 10,234.92 = 3,313.92 : x
  2. Step 2: Convert to fraction form
    6,822.20/10,234.92 = 3,313.92/x
  3. Step 3: Cross multiply
    6,822.20x = 10,234.92 × 3,313.92
  4. Step 4: Simplify right side
    6,822.20x = 33,917,706.09
  5. Step 5: Solve for x
    x = 33,917,706.09/6,822.20
  6. Step 6: Final answer
    x = 4,971.67

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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.