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Finding the Fourth Proportional to 8,633.42, 12,951.60 and 2,709.17

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Solution

The fourth proportional to 8,633.42, 12,951.60 and 2,709.17 is: 4,064.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,633.42 : 12,951.60 = 2,709.17 : x
  2. Step 2: Convert to fraction form
    8,633.42/12,951.60 = 2,709.17/x
  3. Step 3: Cross multiply
    8,633.42x = 12,951.60 × 2,709.17
  4. Step 4: Simplify right side
    8,633.42x = 35,088,007.87
  5. Step 5: Solve for x
    x = 35,088,007.87/8,633.42
  6. Step 6: Final answer
    x = 4,064.21

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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.