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Finding the Fourth Proportional to 6,855.25, 9,460.25 and 3,711.44

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Solution

The fourth proportional to 6,855.25, 9,460.25 and 3,711.44 is: 5,121.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.25 : 9,460.25 = 3,711.44 : x
  2. Step 2: Convert to fraction form
    6,855.25/9,460.25 = 3,711.44/x
  3. Step 3: Cross multiply
    6,855.25x = 9,460.25 × 3,711.44
  4. Step 4: Simplify right side
    6,855.25x = 35,111,150.26
  5. Step 5: Solve for x
    x = 35,111,150.26/6,855.25
  6. Step 6: Final answer
    x = 5,121.79

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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.