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Finding the Fourth Proportional to 9,717.34, 13,408.88 and 5,941.39

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Solution

The fourth proportional to 9,717.34, 13,408.88 and 5,941.39 is: 8,198.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.34 : 13,408.88 = 5,941.39 : x
  2. Step 2: Convert to fraction form
    9,717.34/13,408.88 = 5,941.39/x
  3. Step 3: Cross multiply
    9,717.34x = 13,408.88 × 5,941.39
  4. Step 4: Simplify right side
    9,717.34x = 79,667,385.54
  5. Step 5: Solve for x
    x = 79,667,385.54/9,717.34
  6. Step 6: Final answer
    x = 8,198.48

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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.