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Finding the Fourth Proportional to 6,389.70, 9,589.21 and 3,272.31

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Solution

The fourth proportional to 6,389.70, 9,589.21 and 3,272.31 is: 4,910.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.70 : 9,589.21 = 3,272.31 : x
  2. Step 2: Convert to fraction form
    6,389.70/9,589.21 = 3,272.31/x
  3. Step 3: Cross multiply
    6,389.70x = 9,589.21 × 3,272.31
  4. Step 4: Simplify right side
    6,389.70x = 31,378,851.41
  5. Step 5: Solve for x
    x = 31,378,851.41/6,389.70
  6. Step 6: Final answer
    x = 4,910.85

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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.