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Finding the Fourth Proportional to 6,134.54, 9,180.74 and 3,793.64

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Solution

The fourth proportional to 6,134.54, 9,180.74 and 3,793.64 is: 5,677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.54 : 9,180.74 = 3,793.64 : x
  2. Step 2: Convert to fraction form
    6,134.54/9,180.74 = 3,793.64/x
  3. Step 3: Cross multiply
    6,134.54x = 9,180.74 × 3,793.64
  4. Step 4: Simplify right side
    6,134.54x = 34,828,422.49
  5. Step 5: Solve for x
    x = 34,828,422.49/6,134.54
  6. Step 6: Final answer
    x = 5,677.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.