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Finding the Fourth Proportional to 6,802.94, 9,388.15 and 3,819.05

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Solution

The fourth proportional to 6,802.94, 9,388.15 and 3,819.05 is: 5,270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.94 : 9,388.15 = 3,819.05 : x
  2. Step 2: Convert to fraction form
    6,802.94/9,388.15 = 3,819.05/x
  3. Step 3: Cross multiply
    6,802.94x = 9,388.15 × 3,819.05
  4. Step 4: Simplify right side
    6,802.94x = 35,853,814.46
  5. Step 5: Solve for x
    x = 35,853,814.46/6,802.94
  6. Step 6: Final answer
    x = 5,270.34

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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.