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Finding the Fourth Proportional to 9,884.97, 13,641.21 and 5,408.64

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Solution

The fourth proportional to 9,884.97, 13,641.21 and 5,408.64 is: 7,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.97 : 13,641.21 = 5,408.64 : x
  2. Step 2: Convert to fraction form
    9,884.97/13,641.21 = 5,408.64/x
  3. Step 3: Cross multiply
    9,884.97x = 13,641.21 × 5,408.64
  4. Step 4: Simplify right side
    9,884.97x = 73,780,394.05
  5. Step 5: Solve for x
    x = 73,780,394.05/9,884.97
  6. Step 6: Final answer
    x = 7,463.90

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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.