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Finding the Fourth Proportional to 9,496.43, 14,241.90 and 3,651.65

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Solution

The fourth proportional to 9,496.43, 14,241.90 and 3,651.65 is: 5,476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.43 : 14,241.90 = 3,651.65 : x
  2. Step 2: Convert to fraction form
    9,496.43/14,241.90 = 3,651.65/x
  3. Step 3: Cross multiply
    9,496.43x = 14,241.90 × 3,651.65
  4. Step 4: Simplify right side
    9,496.43x = 52,006,434.14
  5. Step 5: Solve for x
    x = 52,006,434.14/9,496.43
  6. Step 6: Final answer
    x = 5,476.42

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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.