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Finding the Fourth Proportional to 6,178.35, 9,265.20 and 2,228.55

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Solution

The fourth proportional to 6,178.35, 9,265.20 and 2,228.55 is: 3,341.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.35 : 9,265.20 = 2,228.55 : x
  2. Step 2: Convert to fraction form
    6,178.35/9,265.20 = 2,228.55/x
  3. Step 3: Cross multiply
    6,178.35x = 9,265.20 × 2,228.55
  4. Step 4: Simplify right side
    6,178.35x = 20,647,961.46
  5. Step 5: Solve for x
    x = 20,647,961.46/6,178.35
  6. Step 6: Final answer
    x = 3,341.99

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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.