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Finding the Fourth Proportional to 9,961.34, 13,745.85 and 5,769.86

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Solution

The fourth proportional to 9,961.34, 13,745.85 and 5,769.86 is: 7,961.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.34 : 13,745.85 = 5,769.86 : x
  2. Step 2: Convert to fraction form
    9,961.34/13,745.85 = 5,769.86/x
  3. Step 3: Cross multiply
    9,961.34x = 13,745.85 × 5,769.86
  4. Step 4: Simplify right side
    9,961.34x = 79,311,630.08
  5. Step 5: Solve for x
    x = 79,311,630.08/9,961.34
  6. Step 6: Final answer
    x = 7,961.94

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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.