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Finding the Fourth Proportional to 6,832.83, 9,367.80 and 6,708.27

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Solution

The fourth proportional to 6,832.83, 9,367.80 and 6,708.27 is: 9,197.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.83 : 9,367.80 = 6,708.27 : x
  2. Step 2: Convert to fraction form
    6,832.83/9,367.80 = 6,708.27/x
  3. Step 3: Cross multiply
    6,832.83x = 9,367.80 × 6,708.27
  4. Step 4: Simplify right side
    6,832.83x = 62,841,698.16
  5. Step 5: Solve for x
    x = 62,841,698.16/6,832.83
  6. Step 6: Final answer
    x = 9,197.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.