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Finding the Fourth Proportional to 6,204.38, 9,297.68 and 4,811.19

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Solution

The fourth proportional to 6,204.38, 9,297.68 and 4,811.19 is: 7,209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.38 : 9,297.68 = 4,811.19 : x
  2. Step 2: Convert to fraction form
    6,204.38/9,297.68 = 4,811.19/x
  3. Step 3: Cross multiply
    6,204.38x = 9,297.68 × 4,811.19
  4. Step 4: Simplify right side
    6,204.38x = 44,732,880.98
  5. Step 5: Solve for x
    x = 44,732,880.98/6,204.38
  6. Step 6: Final answer
    x = 7,209.89

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Why These Related Problems?

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