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Finding the Fourth Proportional to 6,742.88, 9,310.90 and 4,229.22

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Solution

The fourth proportional to 6,742.88, 9,310.90 and 4,229.22 is: 5,839.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.88 : 9,310.90 = 4,229.22 : x
  2. Step 2: Convert to fraction form
    6,742.88/9,310.90 = 4,229.22/x
  3. Step 3: Cross multiply
    6,742.88x = 9,310.90 × 4,229.22
  4. Step 4: Simplify right side
    6,742.88x = 39,377,844.50
  5. Step 5: Solve for x
    x = 39,377,844.50/6,742.88
  6. Step 6: Final answer
    x = 5,839.91

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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.