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Finding the Fourth Proportional to 6,823.62, 9,415.92 and 3,839.40

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Solution

The fourth proportional to 6,823.62, 9,415.92 and 3,839.40 is: 5,297.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.62 : 9,415.92 = 3,839.40 : x
  2. Step 2: Convert to fraction form
    6,823.62/9,415.92 = 3,839.40/x
  3. Step 3: Cross multiply
    6,823.62x = 9,415.92 × 3,839.40
  4. Step 4: Simplify right side
    6,823.62x = 36,151,483.25
  5. Step 5: Solve for x
    x = 36,151,483.25/6,823.62
  6. Step 6: Final answer
    x = 5,297.99

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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.