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Finding the Fourth Proportional to 7,137.56, 9,849.66 and 3,993.86

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Solution

The fourth proportional to 7,137.56, 9,849.66 and 3,993.86 is: 5,511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.56 : 9,849.66 = 3,993.86 : x
  2. Step 2: Convert to fraction form
    7,137.56/9,849.66 = 3,993.86/x
  3. Step 3: Cross multiply
    7,137.56x = 9,849.66 × 3,993.86
  4. Step 4: Simplify right side
    7,137.56x = 39,338,163.09
  5. Step 5: Solve for x
    x = 39,338,163.09/7,137.56
  6. Step 6: Final answer
    x = 5,511.43

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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.