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Finding the Fourth Proportional to 6,939.52, 10,411.12 and 2,009.56

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Solution

The fourth proportional to 6,939.52, 10,411.12 and 2,009.56 is: 3,014.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.52 : 10,411.12 = 2,009.56 : x
  2. Step 2: Convert to fraction form
    6,939.52/10,411.12 = 2,009.56/x
  3. Step 3: Cross multiply
    6,939.52x = 10,411.12 × 2,009.56
  4. Step 4: Simplify right side
    6,939.52x = 20,921,770.31
  5. Step 5: Solve for x
    x = 20,921,770.31/6,939.52
  6. Step 6: Final answer
    x = 3,014.87

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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.