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Finding the Fourth Proportional to 6,751.35, 9,316.22 and 3,766.91

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Solution

The fourth proportional to 6,751.35, 9,316.22 and 3,766.91 is: 5,197.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.35 : 9,316.22 = 3,766.91 : x
  2. Step 2: Convert to fraction form
    6,751.35/9,316.22 = 3,766.91/x
  3. Step 3: Cross multiply
    6,751.35x = 9,316.22 × 3,766.91
  4. Step 4: Simplify right side
    6,751.35x = 35,093,296.86
  5. Step 5: Solve for x
    x = 35,093,296.86/6,751.35
  6. Step 6: Final answer
    x = 5,197.97

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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.