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Finding the Fourth Proportional to 6,940.89, 10,407.99 and 2,009.21

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Solution

The fourth proportional to 6,940.89, 10,407.99 and 2,009.21 is: 3,012.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.89 : 10,407.99 = 2,009.21 : x
  2. Step 2: Convert to fraction form
    6,940.89/10,407.99 = 2,009.21/x
  3. Step 3: Cross multiply
    6,940.89x = 10,407.99 × 2,009.21
  4. Step 4: Simplify right side
    6,940.89x = 20,911,793.08
  5. Step 5: Solve for x
    x = 20,911,793.08/6,940.89
  6. Step 6: Final answer
    x = 3,012.84

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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.