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Finding the Fourth Proportional to 6,800.40, 9,384.72 and 3,816.12

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Solution

The fourth proportional to 6,800.40, 9,384.72 and 3,816.12 is: 5,266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.40 : 9,384.72 = 3,816.12 : x
  2. Step 2: Convert to fraction form
    6,800.40/9,384.72 = 3,816.12/x
  3. Step 3: Cross multiply
    6,800.40x = 9,384.72 × 3,816.12
  4. Step 4: Simplify right side
    6,800.40x = 35,813,217.69
  5. Step 5: Solve for x
    x = 35,813,217.69/6,800.40
  6. Step 6: Final answer
    x = 5,266.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.