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Finding the Fourth Proportional to 6,939.68, 10,411.13 and 2,009.41

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Solution

The fourth proportional to 6,939.68, 10,411.13 and 2,009.41 is: 3,014.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.68 : 10,411.13 = 2,009.41 : x
  2. Step 2: Convert to fraction form
    6,939.68/10,411.13 = 2,009.41/x
  3. Step 3: Cross multiply
    6,939.68x = 10,411.13 × 2,009.41
  4. Step 4: Simplify right side
    6,939.68x = 20,920,207.73
  5. Step 5: Solve for x
    x = 20,920,207.73/6,939.68
  6. Step 6: Final answer
    x = 3,014.58

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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.