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Finding the Fourth Proportional to 6,474.20, 9,709.34 and 1,793.07

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Solution

The fourth proportional to 6,474.20, 9,709.34 and 1,793.07 is: 2,689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.20 : 9,709.34 = 1,793.07 : x
  2. Step 2: Convert to fraction form
    6,474.20/9,709.34 = 1,793.07/x
  3. Step 3: Cross multiply
    6,474.20x = 9,709.34 × 1,793.07
  4. Step 4: Simplify right side
    6,474.20x = 17,409,517.31
  5. Step 5: Solve for x
    x = 17,409,517.31/6,474.20
  6. Step 6: Final answer
    x = 2,689.06

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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.