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Finding the Fourth Proportional to 6,800.13, 9,384.34 and 3,816.19

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Solution

The fourth proportional to 6,800.13, 9,384.34 and 3,816.19 is: 5,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.13 : 9,384.34 = 3,816.19 : x
  2. Step 2: Convert to fraction form
    6,800.13/9,384.34 = 3,816.19/x
  3. Step 3: Cross multiply
    6,800.13x = 9,384.34 × 3,816.19
  4. Step 4: Simplify right side
    6,800.13x = 35,812,423.52
  5. Step 5: Solve for x
    x = 35,812,423.52/6,800.13
  6. Step 6: Final answer
    x = 5,266.43

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