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Finding the Fourth Proportional to 9,716.33, 13,408.14 and 5,738.72

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Solution

The fourth proportional to 9,716.33, 13,408.14 and 5,738.72 is: 7,919.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.33 : 13,408.14 = 5,738.72 : x
  2. Step 2: Convert to fraction form
    9,716.33/13,408.14 = 5,738.72/x
  3. Step 3: Cross multiply
    9,716.33x = 13,408.14 × 5,738.72
  4. Step 4: Simplify right side
    9,716.33x = 76,945,508.49
  5. Step 5: Solve for x
    x = 76,945,508.49/9,716.33
  6. Step 6: Final answer
    x = 7,919.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.