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Finding the Fourth Proportional to 6,823.56, 9,416.47 and 3,839.42

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Solution

The fourth proportional to 6,823.56, 9,416.47 and 3,839.42 is: 5,298.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.56 : 9,416.47 = 3,839.42 : x
  2. Step 2: Convert to fraction form
    6,823.56/9,416.47 = 3,839.42/x
  3. Step 3: Cross multiply
    6,823.56x = 9,416.47 × 3,839.42
  4. Step 4: Simplify right side
    6,823.56x = 36,153,751.42
  5. Step 5: Solve for x
    x = 36,153,751.42/6,823.56
  6. Step 6: Final answer
    x = 5,298.37

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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.