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Finding the Fourth Proportional to 6,816.77, 9,407.05 and 3,791.86

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Solution

The fourth proportional to 6,816.77, 9,407.05 and 3,791.86 is: 5,232.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.77 : 9,407.05 = 3,791.86 : x
  2. Step 2: Convert to fraction form
    6,816.77/9,407.05 = 3,791.86/x
  3. Step 3: Cross multiply
    6,816.77x = 9,407.05 × 3,791.86
  4. Step 4: Simplify right side
    6,816.77x = 35,670,197.65
  5. Step 5: Solve for x
    x = 35,670,197.65/6,816.77
  6. Step 6: Final answer
    x = 5,232.71

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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.