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Finding the Fourth Proportional to 7,137.69, 9,850.02 and 3,993.88

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Solution

The fourth proportional to 7,137.69, 9,850.02 and 3,993.88 is: 5,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.69 : 9,850.02 = 3,993.88 : x
  2. Step 2: Convert to fraction form
    7,137.69/9,850.02 = 3,993.88/x
  3. Step 3: Cross multiply
    7,137.69x = 9,850.02 × 3,993.88
  4. Step 4: Simplify right side
    7,137.69x = 39,339,797.88
  5. Step 5: Solve for x
    x = 39,339,797.88/7,137.69
  6. Step 6: Final answer
    x = 5,511.56

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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.