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Finding the Fourth Proportional to 6,800.85, 9,384.39 and 3,816.05

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Solution

The fourth proportional to 6,800.85, 9,384.39 and 3,816.05 is: 5,265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.85 : 9,384.39 = 3,816.05 : x
  2. Step 2: Convert to fraction form
    6,800.85/9,384.39 = 3,816.05/x
  3. Step 3: Cross multiply
    6,800.85x = 9,384.39 × 3,816.05
  4. Step 4: Simplify right side
    6,800.85x = 35,811,254.54
  5. Step 5: Solve for x
    x = 35,811,254.54/6,800.85
  6. Step 6: Final answer
    x = 5,265.70

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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.