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Finding the Fourth Proportional to 6,983.28, 9,625.32 and 5,989.68

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Solution

The fourth proportional to 6,983.28, 9,625.32 and 5,989.68 is: 8,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.28 : 9,625.32 = 5,989.68 : x
  2. Step 2: Convert to fraction form
    6,983.28/9,625.32 = 5,989.68/x
  3. Step 3: Cross multiply
    6,983.28x = 9,625.32 × 5,989.68
  4. Step 4: Simplify right side
    6,983.28x = 57,652,586.70
  5. Step 5: Solve for x
    x = 57,652,586.70/6,983.28
  6. Step 6: Final answer
    x = 8,255.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.