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Finding the Fourth Proportional to 6,194.08, 9,285 and 2,297.44

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Solution

The fourth proportional to 6,194.08, 9,285 and 2,297.44 is: 3,443.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.08 : 9,285 = 2,297.44 : x
  2. Step 2: Convert to fraction form
    6,194.08/9,285 = 2,297.44/x
  3. Step 3: Cross multiply
    6,194.08x = 9,285 × 2,297.44
  4. Step 4: Simplify right side
    6,194.08x = 21,331,730.40
  5. Step 5: Solve for x
    x = 21,331,730.40/6,194.08
  6. Step 6: Final answer
    x = 3,443.89

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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.