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Finding the Fourth Proportional to 6,297.94, 9,443.94 and 2,137.24

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Solution

The fourth proportional to 6,297.94, 9,443.94 and 2,137.24 is: 3,204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.94 : 9,443.94 = 2,137.24 : x
  2. Step 2: Convert to fraction form
    6,297.94/9,443.94 = 2,137.24/x
  3. Step 3: Cross multiply
    6,297.94x = 9,443.94 × 2,137.24
  4. Step 4: Simplify right side
    6,297.94x = 20,183,966.33
  5. Step 5: Solve for x
    x = 20,183,966.33/6,297.94
  6. Step 6: Final answer
    x = 3,204.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.