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Finding the Fourth Proportional to 6,614.93, 9,924.24 and 5,393.87

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Solution

The fourth proportional to 6,614.93, 9,924.24 and 5,393.87 is: 8,092.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.93 : 9,924.24 = 5,393.87 : x
  2. Step 2: Convert to fraction form
    6,614.93/9,924.24 = 5,393.87/x
  3. Step 3: Cross multiply
    6,614.93x = 9,924.24 × 5,393.87
  4. Step 4: Simplify right side
    6,614.93x = 53,530,060.41
  5. Step 5: Solve for x
    x = 53,530,060.41/6,614.93
  6. Step 6: Final answer
    x = 8,092.31

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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.