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Finding the Fourth Proportional to 6,278.37, 9,419 and 2,769.38

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Solution

The fourth proportional to 6,278.37, 9,419 and 2,769.38 is: 4,154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.37 : 9,419 = 2,769.38 : x
  2. Step 2: Convert to fraction form
    6,278.37/9,419 = 2,769.38/x
  3. Step 3: Cross multiply
    6,278.37x = 9,419 × 2,769.38
  4. Step 4: Simplify right side
    6,278.37x = 26,084,790.22
  5. Step 5: Solve for x
    x = 26,084,790.22/6,278.37
  6. Step 6: Final answer
    x = 4,154.71

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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.