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Finding the Fourth Proportional to 9,716.72, 13,408.26 and 5,940.50

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Solution

The fourth proportional to 9,716.72, 13,408.26 and 5,940.50 is: 8,197.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.72 : 13,408.26 = 5,940.50 : x
  2. Step 2: Convert to fraction form
    9,716.72/13,408.26 = 5,940.50/x
  3. Step 3: Cross multiply
    9,716.72x = 13,408.26 × 5,940.50
  4. Step 4: Simplify right side
    9,716.72x = 79,651,768.53
  5. Step 5: Solve for x
    x = 79,651,768.53/9,716.72
  6. Step 6: Final answer
    x = 8,197.39

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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.