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Finding the Fourth Proportional to 9,717.36, 13,408.92 and 5,468.64

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Solution

The fourth proportional to 9,717.36, 13,408.92 and 5,468.64 is: 7,546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.36 : 13,408.92 = 5,468.64 : x
  2. Step 2: Convert to fraction form
    9,717.36/13,408.92 = 5,468.64/x
  3. Step 3: Cross multiply
    9,717.36x = 13,408.92 × 5,468.64
  4. Step 4: Simplify right side
    9,717.36x = 73,328,556.27
  5. Step 5: Solve for x
    x = 73,328,556.27/9,717.36
  6. Step 6: Final answer
    x = 7,546.14

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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.