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Finding the Fourth Proportional to 6,824.12, 9,416.62 and 3,839.90

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Solution

The fourth proportional to 6,824.12, 9,416.62 and 3,839.90 is: 5,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.12 : 9,416.62 = 3,839.90 : x
  2. Step 2: Convert to fraction form
    6,824.12/9,416.62 = 3,839.90/x
  3. Step 3: Cross multiply
    6,824.12x = 9,416.62 × 3,839.90
  4. Step 4: Simplify right side
    6,824.12x = 36,158,879.14
  5. Step 5: Solve for x
    x = 36,158,879.14/6,824.12
  6. Step 6: Final answer
    x = 5,298.69

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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.