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Finding the Fourth Proportional to 6,939.60, 10,409.94 and 2,009.31

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Solution

The fourth proportional to 6,939.60, 10,409.94 and 2,009.31 is: 3,014.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.60 : 10,409.94 = 2,009.31 : x
  2. Step 2: Convert to fraction form
    6,939.60/10,409.94 = 2,009.31/x
  3. Step 3: Cross multiply
    6,939.60x = 10,409.94 × 2,009.31
  4. Step 4: Simplify right side
    6,939.60x = 20,916,796.54
  5. Step 5: Solve for x
    x = 20,916,796.54/6,939.60
  6. Step 6: Final answer
    x = 3,014.12

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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.