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Finding the Fourth Proportional to 6,823.73, 9,416.34 and 3,839.43

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Solution

The fourth proportional to 6,823.73, 9,416.34 and 3,839.43 is: 5,298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.73 : 9,416.34 = 3,839.43 : x
  2. Step 2: Convert to fraction form
    6,823.73/9,416.34 = 3,839.43/x
  3. Step 3: Cross multiply
    6,823.73x = 9,416.34 × 3,839.43
  4. Step 4: Simplify right side
    6,823.73x = 36,153,378.29
  5. Step 5: Solve for x
    x = 36,153,378.29/6,823.73
  6. Step 6: Final answer
    x = 5,298.19

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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.