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Finding the Fourth Proportional to 6,620.25, 9,137.07 and 3,827.37

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Solution

The fourth proportional to 6,620.25, 9,137.07 and 3,827.37 is: 5,282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,620.25 : 9,137.07 = 3,827.37 : x
  2. Step 2: Convert to fraction form
    6,620.25/9,137.07 = 3,827.37/x
  3. Step 3: Cross multiply
    6,620.25x = 9,137.07 × 3,827.37
  4. Step 4: Simplify right side
    6,620.25x = 34,970,947.61
  5. Step 5: Solve for x
    x = 34,970,947.61/6,620.25
  6. Step 6: Final answer
    x = 5,282.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.