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Finding the Fourth Proportional to 6,046.25, 9,072.87 and 2,535.94

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Solution

The fourth proportional to 6,046.25, 9,072.87 and 2,535.94 is: 3,805.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.25 : 9,072.87 = 2,535.94 : x
  2. Step 2: Convert to fraction form
    6,046.25/9,072.87 = 2,535.94/x
  3. Step 3: Cross multiply
    6,046.25x = 9,072.87 × 2,535.94
  4. Step 4: Simplify right side
    6,046.25x = 23,008,273.61
  5. Step 5: Solve for x
    x = 23,008,273.61/6,046.25
  6. Step 6: Final answer
    x = 3,805.38

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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.