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Finding the Fourth Proportional to 6,829.53, 9,425.21 and 3,805.12

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Solution

The fourth proportional to 6,829.53, 9,425.21 and 3,805.12 is: 5,251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.53 : 9,425.21 = 3,805.12 : x
  2. Step 2: Convert to fraction form
    6,829.53/9,425.21 = 3,805.12/x
  3. Step 3: Cross multiply
    6,829.53x = 9,425.21 × 3,805.12
  4. Step 4: Simplify right side
    6,829.53x = 35,864,064.59
  5. Step 5: Solve for x
    x = 35,864,064.59/6,829.53
  6. Step 6: Final answer
    x = 5,251.33

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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.