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Finding the Fourth Proportional to 6,242.20, 8,614.16 and 3,409.84

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Solution

The fourth proportional to 6,242.20, 8,614.16 and 3,409.84 is: 4,705.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.20 : 8,614.16 = 3,409.84 : x
  2. Step 2: Convert to fraction form
    6,242.20/8,614.16 = 3,409.84/x
  3. Step 3: Cross multiply
    6,242.20x = 8,614.16 × 3,409.84
  4. Step 4: Simplify right side
    6,242.20x = 29,372,847.21
  5. Step 5: Solve for x
    x = 29,372,847.21/6,242.20
  6. Step 6: Final answer
    x = 4,705.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.