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Finding the Fourth Proportional to 9,678.43, 13,360.30 and 8,194.04

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Solution

The fourth proportional to 9,678.43, 13,360.30 and 8,194.04 is: 11,311.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.43 : 13,360.30 = 8,194.04 : x
  2. Step 2: Convert to fraction form
    9,678.43/13,360.30 = 8,194.04/x
  3. Step 3: Cross multiply
    9,678.43x = 13,360.30 × 8,194.04
  4. Step 4: Simplify right side
    9,678.43x = 109,474,745.33
  5. Step 5: Solve for x
    x = 109,474,745.33/9,678.43
  6. Step 6: Final answer
    x = 11,311.21

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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.