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Finding the Fourth Proportional to 9,884.44, 13,640.41 and 5,408.14

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Solution

The fourth proportional to 9,884.44, 13,640.41 and 5,408.14 is: 7,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.44 : 13,640.41 = 5,408.14 : x
  2. Step 2: Convert to fraction form
    9,884.44/13,640.41 = 5,408.14/x
  3. Step 3: Cross multiply
    9,884.44x = 13,640.41 × 5,408.14
  4. Step 4: Simplify right side
    9,884.44x = 73,769,151.69
  5. Step 5: Solve for x
    x = 73,769,151.69/9,884.44
  6. Step 6: Final answer
    x = 7,463.16

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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.