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Finding the Fourth Proportional to 6,343.58, 9,513.03 and 2,182.41

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Solution

The fourth proportional to 6,343.58, 9,513.03 and 2,182.41 is: 3,272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.58 : 9,513.03 = 2,182.41 : x
  2. Step 2: Convert to fraction form
    6,343.58/9,513.03 = 2,182.41/x
  3. Step 3: Cross multiply
    6,343.58x = 9,513.03 × 2,182.41
  4. Step 4: Simplify right side
    6,343.58x = 20,761,331.80
  5. Step 5: Solve for x
    x = 20,761,331.80/6,343.58
  6. Step 6: Final answer
    x = 3,272.81

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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.