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Finding the Fourth Proportional to 6,954.27, 10,431.41 and 2,274.77

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Solution

The fourth proportional to 6,954.27, 10,431.41 and 2,274.77 is: 3,412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.27 : 10,431.41 = 2,274.77 : x
  2. Step 2: Convert to fraction form
    6,954.27/10,431.41 = 2,274.77/x
  3. Step 3: Cross multiply
    6,954.27x = 10,431.41 × 2,274.77
  4. Step 4: Simplify right side
    6,954.27x = 23,728,994.99
  5. Step 5: Solve for x
    x = 23,728,994.99/6,954.27
  6. Step 6: Final answer
    x = 3,412.15

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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.