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Finding the Fourth Proportional to 6,935.09, 9,570.46 and 3,791.27

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Solution

The fourth proportional to 6,935.09, 9,570.46 and 3,791.27 is: 5,231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.09 : 9,570.46 = 3,791.27 : x
  2. Step 2: Convert to fraction form
    6,935.09/9,570.46 = 3,791.27/x
  3. Step 3: Cross multiply
    6,935.09x = 9,570.46 × 3,791.27
  4. Step 4: Simplify right side
    6,935.09x = 36,284,217.75
  5. Step 5: Solve for x
    x = 36,284,217.75/6,935.09
  6. Step 6: Final answer
    x = 5,231.98

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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.