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Finding the Fourth Proportional to 6,284.85, 9,431.03 and 2,335.44

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Solution

The fourth proportional to 6,284.85, 9,431.03 and 2,335.44 is: 3,504.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.85 : 9,431.03 = 2,335.44 : x
  2. Step 2: Convert to fraction form
    6,284.85/9,431.03 = 2,335.44/x
  3. Step 3: Cross multiply
    6,284.85x = 9,431.03 × 2,335.44
  4. Step 4: Simplify right side
    6,284.85x = 22,025,593.03
  5. Step 5: Solve for x
    x = 22,025,593.03/6,284.85
  6. Step 6: Final answer
    x = 3,504.55

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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.