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Finding the Fourth Proportional to 6,242.28, 8,614.26 and 3,409.62

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Solution

The fourth proportional to 6,242.28, 8,614.26 and 3,409.62 is: 4,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.28 : 8,614.26 = 3,409.62 : x
  2. Step 2: Convert to fraction form
    6,242.28/8,614.26 = 3,409.62/x
  3. Step 3: Cross multiply
    6,242.28x = 8,614.26 × 3,409.62
  4. Step 4: Simplify right side
    6,242.28x = 29,371,353.18
  5. Step 5: Solve for x
    x = 29,371,353.18/6,242.28
  6. Step 6: Final answer
    x = 4,705.23

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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.