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Finding the Fourth Proportional to 6,278.50, 9,419.19 and 2,769.50

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Solution

The fourth proportional to 6,278.50, 9,419.19 and 2,769.50 is: 4,154.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.50 : 9,419.19 = 2,769.50 : x
  2. Step 2: Convert to fraction form
    6,278.50/9,419.19 = 2,769.50/x
  3. Step 3: Cross multiply
    6,278.50x = 9,419.19 × 2,769.50
  4. Step 4: Simplify right side
    6,278.50x = 26,086,459.87
  5. Step 5: Solve for x
    x = 26,086,459.87/6,278.50
  6. Step 6: Final answer
    x = 4,154.89

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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.