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Finding the Fourth Proportional to 6,278.85, 9,419.85 and 2,769.53

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Solution

The fourth proportional to 6,278.85, 9,419.85 and 2,769.53 is: 4,154.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.85 : 9,419.85 = 2,769.53 : x
  2. Step 2: Convert to fraction form
    6,278.85/9,419.85 = 2,769.53/x
  3. Step 3: Cross multiply
    6,278.85x = 9,419.85 × 2,769.53
  4. Step 4: Simplify right side
    6,278.85x = 26,088,510.07
  5. Step 5: Solve for x
    x = 26,088,510.07/6,278.85
  6. Step 6: Final answer
    x = 4,154.98

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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.