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Finding the Fourth Proportional to 6,800.29, 9,384.39 and 3,816.18

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Solution

The fourth proportional to 6,800.29, 9,384.39 and 3,816.18 is: 5,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.29 : 9,384.39 = 3,816.18 : x
  2. Step 2: Convert to fraction form
    6,800.29/9,384.39 = 3,816.18/x
  3. Step 3: Cross multiply
    6,800.29x = 9,384.39 × 3,816.18
  4. Step 4: Simplify right side
    6,800.29x = 35,812,521.43
  5. Step 5: Solve for x
    x = 35,812,521.43/6,800.29
  6. Step 6: Final answer
    x = 5,266.32

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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.