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Finding the Fourth Proportional to 6,778.82, 9,349.94 and 6,221.09

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Solution

The fourth proportional to 6,778.82, 9,349.94 and 6,221.09 is: 8,580.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.82 : 9,349.94 = 6,221.09 : x
  2. Step 2: Convert to fraction form
    6,778.82/9,349.94 = 6,221.09/x
  3. Step 3: Cross multiply
    6,778.82x = 9,349.94 × 6,221.09
  4. Step 4: Simplify right side
    6,778.82x = 58,166,787.04
  5. Step 5: Solve for x
    x = 58,166,787.04/6,778.82
  6. Step 6: Final answer
    x = 8,580.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.