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Finding the Fourth Proportional to 6,046.94, 9,072.74 and 2,351.77

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Solution

The fourth proportional to 6,046.94, 9,072.74 and 2,351.77 is: 3,528.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.94 : 9,072.74 = 2,351.77 : x
  2. Step 2: Convert to fraction form
    6,046.94/9,072.74 = 2,351.77/x
  3. Step 3: Cross multiply
    6,046.94x = 9,072.74 × 2,351.77
  4. Step 4: Simplify right side
    6,046.94x = 21,336,963.31
  5. Step 5: Solve for x
    x = 21,336,963.31/6,046.94
  6. Step 6: Final answer
    x = 3,528.56

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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.