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Finding the Fourth Proportional to 8,694.30, 13,035.69 and 3,146.92

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Solution

The fourth proportional to 8,694.30, 13,035.69 and 3,146.92 is: 4,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.30 : 13,035.69 = 3,146.92 : x
  2. Step 2: Convert to fraction form
    8,694.30/13,035.69 = 3,146.92/x
  3. Step 3: Cross multiply
    8,694.30x = 13,035.69 × 3,146.92
  4. Step 4: Simplify right side
    8,694.30x = 41,022,273.57
  5. Step 5: Solve for x
    x = 41,022,273.57/8,694.30
  6. Step 6: Final answer
    x = 4,718.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.