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Finding the Fourth Proportional to 6,803.32, 9,388.94 and 3,819

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Solution

The fourth proportional to 6,803.32, 9,388.94 and 3,819 is: 5,270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.32 : 9,388.94 = 3,819 : x
  2. Step 2: Convert to fraction form
    6,803.32/9,388.94 = 3,819/x
  3. Step 3: Cross multiply
    6,803.32x = 9,388.94 × 3,819
  4. Step 4: Simplify right side
    6,803.32x = 35,856,361.86
  5. Step 5: Solve for x
    x = 35,856,361.86/6,803.32
  6. Step 6: Final answer
    x = 5,270.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.