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Finding the Fourth Proportional to 9,884.70, 13,641.21 and 5,408.73

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Solution

The fourth proportional to 9,884.70, 13,641.21 and 5,408.73 is: 7,464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.70 : 13,641.21 = 5,408.73 : x
  2. Step 2: Convert to fraction form
    9,884.70/13,641.21 = 5,408.73/x
  3. Step 3: Cross multiply
    9,884.70x = 13,641.21 × 5,408.73
  4. Step 4: Simplify right side
    9,884.70x = 73,781,621.76
  5. Step 5: Solve for x
    x = 73,781,621.76/9,884.70
  6. Step 6: Final answer
    x = 7,464.22

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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.