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Finding the Fourth Proportional to 9,965.78, 13,747.72 and 6,191.18

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Solution

The fourth proportional to 9,965.78, 13,747.72 and 6,191.18 is: 8,540.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.78 : 13,747.72 = 6,191.18 : x
  2. Step 2: Convert to fraction form
    9,965.78/13,747.72 = 6,191.18/x
  3. Step 3: Cross multiply
    9,965.78x = 13,747.72 × 6,191.18
  4. Step 4: Simplify right side
    9,965.78x = 85,114,609.11
  5. Step 5: Solve for x
    x = 85,114,609.11/9,965.78
  6. Step 6: Final answer
    x = 8,540.69

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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.