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Finding the Fourth Proportional to 8,395.24, 12,596.97 and 5,945.80

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Solution

The fourth proportional to 8,395.24, 12,596.97 and 5,945.80 is: 8,921.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,395.24 : 12,596.97 = 5,945.80 : x
  2. Step 2: Convert to fraction form
    8,395.24/12,596.97 = 5,945.80/x
  3. Step 3: Cross multiply
    8,395.24x = 12,596.97 × 5,945.80
  4. Step 4: Simplify right side
    8,395.24x = 74,899,064.23
  5. Step 5: Solve for x
    x = 74,899,064.23/8,395.24
  6. Step 6: Final answer
    x = 8,921.61

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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.