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Finding the Fourth Proportional to 6,257.25, 9,382.23 and 2,747.12

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Solution

The fourth proportional to 6,257.25, 9,382.23 and 2,747.12 is: 4,119.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.25 : 9,382.23 = 2,747.12 : x
  2. Step 2: Convert to fraction form
    6,257.25/9,382.23 = 2,747.12/x
  3. Step 3: Cross multiply
    6,257.25x = 9,382.23 × 2,747.12
  4. Step 4: Simplify right side
    6,257.25x = 25,774,064.77
  5. Step 5: Solve for x
    x = 25,774,064.77/6,257.25
  6. Step 6: Final answer
    x = 4,119.07

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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.