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Finding the Fourth Proportional to 6,803.49, 9,388.91 and 3,819.15

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Solution

The fourth proportional to 6,803.49, 9,388.91 and 3,819.15 is: 5,270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.49 : 9,388.91 = 3,819.15 : x
  2. Step 2: Convert to fraction form
    6,803.49/9,388.91 = 3,819.15/x
  3. Step 3: Cross multiply
    6,803.49x = 9,388.91 × 3,819.15
  4. Step 4: Simplify right side
    6,803.49x = 35,857,665.17
  5. Step 5: Solve for x
    x = 35,857,665.17/6,803.49
  6. Step 6: Final answer
    x = 5,270.48

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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.