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Finding the Fourth Proportional to 6,881.30, 9,486.99 and 5,469.67

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Solution

The fourth proportional to 6,881.30, 9,486.99 and 5,469.67 is: 7,540.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.30 : 9,486.99 = 5,469.67 : x
  2. Step 2: Convert to fraction form
    6,881.30/9,486.99 = 5,469.67/x
  3. Step 3: Cross multiply
    6,881.30x = 9,486.99 × 5,469.67
  4. Step 4: Simplify right side
    6,881.30x = 51,890,716.45
  5. Step 5: Solve for x
    x = 51,890,716.45/6,881.30
  6. Step 6: Final answer
    x = 7,540.83

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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.