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Finding the Fourth Proportional to 6,684.12, 9,224.20 and 3,659.49

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Solution

The fourth proportional to 6,684.12, 9,224.20 and 3,659.49 is: 5,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.12 : 9,224.20 = 3,659.49 : x
  2. Step 2: Convert to fraction form
    6,684.12/9,224.20 = 3,659.49/x
  3. Step 3: Cross multiply
    6,684.12x = 9,224.20 × 3,659.49
  4. Step 4: Simplify right side
    6,684.12x = 33,755,849.36
  5. Step 5: Solve for x
    x = 33,755,849.36/6,684.12
  6. Step 6: Final answer
    x = 5,050.16

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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.