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Finding the Fourth Proportional to 6,935.66, 9,570.85 and 3,791.24

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Solution

The fourth proportional to 6,935.66, 9,570.85 and 3,791.24 is: 5,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.66 : 9,570.85 = 3,791.24 : x
  2. Step 2: Convert to fraction form
    6,935.66/9,570.85 = 3,791.24/x
  3. Step 3: Cross multiply
    6,935.66x = 9,570.85 × 3,791.24
  4. Step 4: Simplify right side
    6,935.66x = 36,285,389.35
  5. Step 5: Solve for x
    x = 36,285,389.35/6,935.66
  6. Step 6: Final answer
    x = 5,231.71

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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.