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Finding the Fourth Proportional to 6,227.34, 9,338.46 and 3,106.20

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Solution

The fourth proportional to 6,227.34, 9,338.46 and 3,106.20 is: 4,658.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.34 : 9,338.46 = 3,106.20 : x
  2. Step 2: Convert to fraction form
    6,227.34/9,338.46 = 3,106.20/x
  3. Step 3: Cross multiply
    6,227.34x = 9,338.46 × 3,106.20
  4. Step 4: Simplify right side
    6,227.34x = 29,007,124.45
  5. Step 5: Solve for x
    x = 29,007,124.45/6,227.34
  6. Step 6: Final answer
    x = 4,658.03

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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.