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Finding the Fourth Proportional to 6,778.87, 9,348.27 and 5,286.24

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Solution

The fourth proportional to 6,778.87, 9,348.27 and 5,286.24 is: 7,289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.87 : 9,348.27 = 5,286.24 : x
  2. Step 2: Convert to fraction form
    6,778.87/9,348.27 = 5,286.24/x
  3. Step 3: Cross multiply
    6,778.87x = 9,348.27 × 5,286.24
  4. Step 4: Simplify right side
    6,778.87x = 49,417,172.37
  5. Step 5: Solve for x
    x = 49,417,172.37/6,778.87
  6. Step 6: Final answer
    x = 7,289.89

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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.