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Finding the Fourth Proportional to 6,803.41, 9,388.56 and 3,778.37

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Solution

The fourth proportional to 6,803.41, 9,388.56 and 3,778.37 is: 5,214.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.41 : 9,388.56 = 3,778.37 : x
  2. Step 2: Convert to fraction form
    6,803.41/9,388.56 = 3,778.37/x
  3. Step 3: Cross multiply
    6,803.41x = 9,388.56 × 3,778.37
  4. Step 4: Simplify right side
    6,803.41x = 35,473,453.45
  5. Step 5: Solve for x
    x = 35,473,453.45/6,803.41
  6. Step 6: Final answer
    x = 5,214.07

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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.