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Finding the Fourth Proportional to 6,309.50, 9,456.04 and 3,384.38

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Solution

The fourth proportional to 6,309.50, 9,456.04 and 3,384.38 is: 5,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.50 : 9,456.04 = 3,384.38 : x
  2. Step 2: Convert to fraction form
    6,309.50/9,456.04 = 3,384.38/x
  3. Step 3: Cross multiply
    6,309.50x = 9,456.04 × 3,384.38
  4. Step 4: Simplify right side
    6,309.50x = 32,002,860.53
  5. Step 5: Solve for x
    x = 32,002,860.53/6,309.50
  6. Step 6: Final answer
    x = 5,072.17

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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.