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Finding the Fourth Proportional to 6,320.92, 9,469.22 and 3,539.18

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Solution

The fourth proportional to 6,320.92, 9,469.22 and 3,539.18 is: 5,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.92 : 9,469.22 = 3,539.18 : x
  2. Step 2: Convert to fraction form
    6,320.92/9,469.22 = 3,539.18/x
  3. Step 3: Cross multiply
    6,320.92x = 9,469.22 × 3,539.18
  4. Step 4: Simplify right side
    6,320.92x = 33,513,274.04
  5. Step 5: Solve for x
    x = 33,513,274.04/6,320.92
  6. Step 6: Final answer
    x = 5,301.96

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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.