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Finding the Fourth Proportional to 6,190.84, 9,286.08 and 2,296

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Solution

The fourth proportional to 6,190.84, 9,286.08 and 2,296 is: 3,443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.84 : 9,286.08 = 2,296 : x
  2. Step 2: Convert to fraction form
    6,190.84/9,286.08 = 2,296/x
  3. Step 3: Cross multiply
    6,190.84x = 9,286.08 × 2,296
  4. Step 4: Simplify right side
    6,190.84x = 21,320,839.68
  5. Step 5: Solve for x
    x = 21,320,839.68/6,190.84
  6. Step 6: Final answer
    x = 3,443.93

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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.