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Finding the Fourth Proportional to 6,742.78, 9,304.82 and 4,226.25

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Solution

The fourth proportional to 6,742.78, 9,304.82 and 4,226.25 is: 5,832.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.78 : 9,304.82 = 4,226.25 : x
  2. Step 2: Convert to fraction form
    6,742.78/9,304.82 = 4,226.25/x
  3. Step 3: Cross multiply
    6,742.78x = 9,304.82 × 4,226.25
  4. Step 4: Simplify right side
    6,742.78x = 39,324,495.53
  5. Step 5: Solve for x
    x = 39,324,495.53/6,742.78
  6. Step 6: Final answer
    x = 5,832.09

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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.