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Finding the Fourth Proportional to 6,421.97, 8,863.15 and 3,769.63

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Solution

The fourth proportional to 6,421.97, 8,863.15 and 3,769.63 is: 5,202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.97 : 8,863.15 = 3,769.63 : x
  2. Step 2: Convert to fraction form
    6,421.97/8,863.15 = 3,769.63/x
  3. Step 3: Cross multiply
    6,421.97x = 8,863.15 × 3,769.63
  4. Step 4: Simplify right side
    6,421.97x = 33,410,796.13
  5. Step 5: Solve for x
    x = 33,410,796.13/6,421.97
  6. Step 6: Final answer
    x = 5,202.58

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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.