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Finding the Fourth Proportional to 6,687.25, 9,218.57 and 5,091.11

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Solution

The fourth proportional to 6,687.25, 9,218.57 and 5,091.11 is: 7,018.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.25 : 9,218.57 = 5,091.11 : x
  2. Step 2: Convert to fraction form
    6,687.25/9,218.57 = 5,091.11/x
  3. Step 3: Cross multiply
    6,687.25x = 9,218.57 × 5,091.11
  4. Step 4: Simplify right side
    6,687.25x = 46,932,716.93
  5. Step 5: Solve for x
    x = 46,932,716.93/6,687.25
  6. Step 6: Final answer
    x = 7,018.24

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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.