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Finding the Fourth Proportional to 6,179.14, 9,268.70 and 2,075.14

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Solution

The fourth proportional to 6,179.14, 9,268.70 and 2,075.14 is: 3,112.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179.14 : 9,268.70 = 2,075.14 : x
  2. Step 2: Convert to fraction form
    6,179.14/9,268.70 = 2,075.14/x
  3. Step 3: Cross multiply
    6,179.14x = 9,268.70 × 2,075.14
  4. Step 4: Simplify right side
    6,179.14x = 19,233,850.12
  5. Step 5: Solve for x
    x = 19,233,850.12/6,179.14
  6. Step 6: Final answer
    x = 3,112.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.