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Finding the Fourth Proportional to 6,418.26, 9,628.26 and 2,257.29

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Solution

The fourth proportional to 6,418.26, 9,628.26 and 2,257.29 is: 3,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.26 : 9,628.26 = 2,257.29 : x
  2. Step 2: Convert to fraction form
    6,418.26/9,628.26 = 2,257.29/x
  3. Step 3: Cross multiply
    6,418.26x = 9,628.26 × 2,257.29
  4. Step 4: Simplify right side
    6,418.26x = 21,733,775.02
  5. Step 5: Solve for x
    x = 21,733,775.02/6,418.26
  6. Step 6: Final answer
    x = 3,386.24

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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.