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Finding the Fourth Proportional to 6,194.33, 9,285 and 2,033.27

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Solution

The fourth proportional to 6,194.33, 9,285 and 2,033.27 is: 3,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.33 : 9,285 = 2,033.27 : x
  2. Step 2: Convert to fraction form
    6,194.33/9,285 = 2,033.27/x
  3. Step 3: Cross multiply
    6,194.33x = 9,285 × 2,033.27
  4. Step 4: Simplify right side
    6,194.33x = 18,878,911.95
  5. Step 5: Solve for x
    x = 18,878,911.95/6,194.33
  6. Step 6: Final answer
    x = 3,047.77

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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.