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Finding the Fourth Proportional to 10,274.69, 14,185.17 and 6,744.08

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Solution

The fourth proportional to 10,274.69, 14,185.17 and 6,744.08 is: 9,310.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.69 : 14,185.17 = 6,744.08 : x
  2. Step 2: Convert to fraction form
    10,274.69/14,185.17 = 6,744.08/x
  3. Step 3: Cross multiply
    10,274.69x = 14,185.17 × 6,744.08
  4. Step 4: Simplify right side
    10,274.69x = 95,665,850.37
  5. Step 5: Solve for x
    x = 95,665,850.37/10,274.69
  6. Step 6: Final answer
    x = 9,310.83

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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.