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Finding the Fourth Proportional to 6,327.41, 9,489.39 and 2,378.49

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Solution

The fourth proportional to 6,327.41, 9,489.39 and 2,378.49 is: 3,567.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.41 : 9,489.39 = 2,378.49 : x
  2. Step 2: Convert to fraction form
    6,327.41/9,489.39 = 2,378.49/x
  3. Step 3: Cross multiply
    6,327.41x = 9,489.39 × 2,378.49
  4. Step 4: Simplify right side
    6,327.41x = 22,570,419.22
  5. Step 5: Solve for x
    x = 22,570,419.22/6,327.41
  6. Step 6: Final answer
    x = 3,567.09

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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.