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Finding the Fourth Proportional to 6,538.25, 9,022.79 and 3,744.29

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Solution

The fourth proportional to 6,538.25, 9,022.79 and 3,744.29 is: 5,167.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.25 : 9,022.79 = 3,744.29 : x
  2. Step 2: Convert to fraction form
    6,538.25/9,022.79 = 3,744.29/x
  3. Step 3: Cross multiply
    6,538.25x = 9,022.79 × 3,744.29
  4. Step 4: Simplify right side
    6,538.25x = 33,783,942.37
  5. Step 5: Solve for x
    x = 33,783,942.37/6,538.25
  6. Step 6: Final answer
    x = 5,167.12

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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.