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Finding the Fourth Proportional to 6,829.14, 9,423.86 and 3,844.88

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Solution

The fourth proportional to 6,829.14, 9,423.86 and 3,844.88 is: 5,305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.14 : 9,423.86 = 3,844.88 : x
  2. Step 2: Convert to fraction form
    6,829.14/9,423.86 = 3,844.88/x
  3. Step 3: Cross multiply
    6,829.14x = 9,423.86 × 3,844.88
  4. Step 4: Simplify right side
    6,829.14x = 36,233,544.49
  5. Step 5: Solve for x
    x = 36,233,544.49/6,829.14
  6. Step 6: Final answer
    x = 5,305.73

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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.