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Finding the Fourth Proportional to 6,823.58, 9,415.44 and 3,839.54

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Solution

The fourth proportional to 6,823.58, 9,415.44 and 3,839.54 is: 5,297.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.58 : 9,415.44 = 3,839.54 : x
  2. Step 2: Convert to fraction form
    6,823.58/9,415.44 = 3,839.54/x
  3. Step 3: Cross multiply
    6,823.58x = 9,415.44 × 3,839.54
  4. Step 4: Simplify right side
    6,823.58x = 36,150,911.42
  5. Step 5: Solve for x
    x = 36,150,911.42/6,823.58
  6. Step 6: Final answer
    x = 5,297.94

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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.