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Finding the Fourth Proportional to 6,864.36, 9,479.55 and 5,863.80

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Solution

The fourth proportional to 6,864.36, 9,479.55 and 5,863.80 is: 8,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.36 : 9,479.55 = 5,863.80 : x
  2. Step 2: Convert to fraction form
    6,864.36/9,479.55 = 5,863.80/x
  3. Step 3: Cross multiply
    6,864.36x = 9,479.55 × 5,863.80
  4. Step 4: Simplify right side
    6,864.36x = 55,586,185.29
  5. Step 5: Solve for x
    x = 55,586,185.29/6,864.36
  6. Step 6: Final answer
    x = 8,097.80

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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.