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Finding the Fourth Proportional to 6,772, 9,346.44 and 3,976.96

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Solution

The fourth proportional to 6,772, 9,346.44 and 3,976.96 is: 5,488.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772 : 9,346.44 = 3,976.96 : x
  2. Step 2: Convert to fraction form
    6,772/9,346.44 = 3,976.96/x
  3. Step 3: Cross multiply
    6,772x = 9,346.44 × 3,976.96
  4. Step 4: Simplify right side
    6,772x = 37,170,418.02
  5. Step 5: Solve for x
    x = 37,170,418.02/6,772
  6. Step 6: Final answer
    x = 5,488.84

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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.