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Finding the Fourth Proportional to 6,864.86, 9,473.92 and 3,880.97

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Solution

The fourth proportional to 6,864.86, 9,473.92 and 3,880.97 is: 5,355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.86 : 9,473.92 = 3,880.97 : x
  2. Step 2: Convert to fraction form
    6,864.86/9,473.92 = 3,880.97/x
  3. Step 3: Cross multiply
    6,864.86x = 9,473.92 × 3,880.97
  4. Step 4: Simplify right side
    6,864.86x = 36,768,031.05
  5. Step 5: Solve for x
    x = 36,768,031.05/6,864.86
  6. Step 6: Final answer
    x = 5,355.97

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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.