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Finding the Fourth Proportional to 8,144.93, 12,223.55 and 5,959.29

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Solution

The fourth proportional to 8,144.93, 12,223.55 and 5,959.29 is: 8,943.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.93 : 12,223.55 = 5,959.29 : x
  2. Step 2: Convert to fraction form
    8,144.93/12,223.55 = 5,959.29/x
  3. Step 3: Cross multiply
    8,144.93x = 12,223.55 × 5,959.29
  4. Step 4: Simplify right side
    8,144.93x = 72,843,649.48
  5. Step 5: Solve for x
    x = 72,843,649.48/8,144.93
  6. Step 6: Final answer
    x = 8,943.44

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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.