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Finding the Fourth Proportional to 6,301.92, 8,696.22 and 3,468.75

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Solution

The fourth proportional to 6,301.92, 8,696.22 and 3,468.75 is: 4,786.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.92 : 8,696.22 = 3,468.75 : x
  2. Step 2: Convert to fraction form
    6,301.92/8,696.22 = 3,468.75/x
  3. Step 3: Cross multiply
    6,301.92x = 8,696.22 × 3,468.75
  4. Step 4: Simplify right side
    6,301.92x = 30,165,013.13
  5. Step 5: Solve for x
    x = 30,165,013.13/6,301.92
  6. Step 6: Final answer
    x = 4,786.64

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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.