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Finding the Fourth Proportional to 6,943.92, 9,582.84 and 3,800.22

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Solution

The fourth proportional to 6,943.92, 9,582.84 and 3,800.22 is: 5,244.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.92 : 9,582.84 = 3,800.22 : x
  2. Step 2: Convert to fraction form
    6,943.92/9,582.84 = 3,800.22/x
  3. Step 3: Cross multiply
    6,943.92x = 9,582.84 × 3,800.22
  4. Step 4: Simplify right side
    6,943.92x = 36,416,900.22
  5. Step 5: Solve for x
    x = 36,416,900.22/6,943.92
  6. Step 6: Final answer
    x = 5,244.43

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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.