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Finding the Fourth Proportional to 6,224.49, 9,327 and 5,296.23

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Solution

The fourth proportional to 6,224.49, 9,327 and 5,296.23 is: 7,936.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.49 : 9,327 = 5,296.23 : x
  2. Step 2: Convert to fraction form
    6,224.49/9,327 = 5,296.23/x
  3. Step 3: Cross multiply
    6,224.49x = 9,327 × 5,296.23
  4. Step 4: Simplify right side
    6,224.49x = 49,397,937.21
  5. Step 5: Solve for x
    x = 49,397,937.21/6,224.49
  6. Step 6: Final answer
    x = 7,936.06

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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.