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Finding the Fourth Proportional to 6,537.14, 9,027.23 and 4,183.41

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Solution

The fourth proportional to 6,537.14, 9,027.23 and 4,183.41 is: 5,776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.14 : 9,027.23 = 4,183.41 : x
  2. Step 2: Convert to fraction form
    6,537.14/9,027.23 = 4,183.41/x
  3. Step 3: Cross multiply
    6,537.14x = 9,027.23 × 4,183.41
  4. Step 4: Simplify right side
    6,537.14x = 37,764,604.25
  5. Step 5: Solve for x
    x = 37,764,604.25/6,537.14
  6. Step 6: Final answer
    x = 5,776.93

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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.