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Finding the Fourth Proportional to 6,939.50, 10,409.38 and 2,259.49

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Solution

The fourth proportional to 6,939.50, 10,409.38 and 2,259.49 is: 3,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.50 : 10,409.38 = 2,259.49 : x
  2. Step 2: Convert to fraction form
    6,939.50/10,409.38 = 2,259.49/x
  3. Step 3: Cross multiply
    6,939.50x = 10,409.38 × 2,259.49
  4. Step 4: Simplify right side
    6,939.50x = 23,519,890.02
  5. Step 5: Solve for x
    x = 23,519,890.02/6,939.50
  6. Step 6: Final answer
    x = 3,389.28

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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.