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Finding the Fourth Proportional to 6,826.22, 9,418.50 and 4,172.66

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Solution

The fourth proportional to 6,826.22, 9,418.50 and 4,172.66 is: 5,757.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.22 : 9,418.50 = 4,172.66 : x
  2. Step 2: Convert to fraction form
    6,826.22/9,418.50 = 4,172.66/x
  3. Step 3: Cross multiply
    6,826.22x = 9,418.50 × 4,172.66
  4. Step 4: Simplify right side
    6,826.22x = 39,300,151.12
  5. Step 5: Solve for x
    x = 39,300,151.12/6,826.22
  6. Step 6: Final answer
    x = 5,757.24

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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.