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Finding the Fourth Proportional to 6,789.84, 9,369.90 and 3,805.67

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Solution

The fourth proportional to 6,789.84, 9,369.90 and 3,805.67 is: 5,251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.84 : 9,369.90 = 3,805.67 : x
  2. Step 2: Convert to fraction form
    6,789.84/9,369.90 = 3,805.67/x
  3. Step 3: Cross multiply
    6,789.84x = 9,369.90 × 3,805.67
  4. Step 4: Simplify right side
    6,789.84x = 35,658,728.30
  5. Step 5: Solve for x
    x = 35,658,728.30/6,789.84
  6. Step 6: Final answer
    x = 5,251.78

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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.