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Finding the Fourth Proportional to 9,716.16, 13,408.26 and 5,467.26

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Solution

The fourth proportional to 9,716.16, 13,408.26 and 5,467.26 is: 7,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.16 : 13,408.26 = 5,467.26 : x
  2. Step 2: Convert to fraction form
    9,716.16/13,408.26 = 5,467.26/x
  3. Step 3: Cross multiply
    9,716.16x = 13,408.26 × 5,467.26
  4. Step 4: Simplify right side
    9,716.16x = 73,306,443.57
  5. Step 5: Solve for x
    x = 73,306,443.57/9,716.16
  6. Step 6: Final answer
    x = 7,544.80

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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.