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Finding the Fourth Proportional to 6,474.70, 8,932.03 and 3,820.34

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Solution

The fourth proportional to 6,474.70, 8,932.03 and 3,820.34 is: 5,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.70 : 8,932.03 = 3,820.34 : x
  2. Step 2: Convert to fraction form
    6,474.70/8,932.03 = 3,820.34/x
  3. Step 3: Cross multiply
    6,474.70x = 8,932.03 × 3,820.34
  4. Step 4: Simplify right side
    6,474.70x = 34,123,391.49
  5. Step 5: Solve for x
    x = 34,123,391.49/6,474.70
  6. Step 6: Final answer
    x = 5,270.27

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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.