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Finding the Fourth Proportional to 6,850.44, 9,446.76 and 5,078.97

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Solution

The fourth proportional to 6,850.44, 9,446.76 and 5,078.97 is: 7,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.44 : 9,446.76 = 5,078.97 : x
  2. Step 2: Convert to fraction form
    6,850.44/9,446.76 = 5,078.97/x
  3. Step 3: Cross multiply
    6,850.44x = 9,446.76 × 5,078.97
  4. Step 4: Simplify right side
    6,850.44x = 47,979,810.64
  5. Step 5: Solve for x
    x = 47,979,810.64/6,850.44
  6. Step 6: Final answer
    x = 7,003.90

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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.