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Finding the Fourth Proportional to 6,738.26, 9,296.10 and 4,347.96

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Solution

The fourth proportional to 6,738.26, 9,296.10 and 4,347.96 is: 5,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.26 : 9,296.10 = 4,347.96 : x
  2. Step 2: Convert to fraction form
    6,738.26/9,296.10 = 4,347.96/x
  3. Step 3: Cross multiply
    6,738.26x = 9,296.10 × 4,347.96
  4. Step 4: Simplify right side
    6,738.26x = 40,419,070.96
  5. Step 5: Solve for x
    x = 40,419,070.96/6,738.26
  6. Step 6: Final answer
    x = 5,998.44

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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.