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Finding the Fourth Proportional to 9,691.62, 14,535.26 and 3,846.66

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Solution

The fourth proportional to 9,691.62, 14,535.26 and 3,846.66 is: 5,769.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.62 : 14,535.26 = 3,846.66 : x
  2. Step 2: Convert to fraction form
    9,691.62/14,535.26 = 3,846.66/x
  3. Step 3: Cross multiply
    9,691.62x = 14,535.26 × 3,846.66
  4. Step 4: Simplify right side
    9,691.62x = 55,912,203.23
  5. Step 5: Solve for x
    x = 55,912,203.23/9,691.62
  6. Step 6: Final answer
    x = 5,769.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.