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Finding the Fourth Proportional to 9,380.50, 14,070.75 and 3,836.86

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Solution

The fourth proportional to 9,380.50, 14,070.75 and 3,836.86 is: 5,755.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.50 : 14,070.75 = 3,836.86 : x
  2. Step 2: Convert to fraction form
    9,380.50/14,070.75 = 3,836.86/x
  3. Step 3: Cross multiply
    9,380.50x = 14,070.75 × 3,836.86
  4. Step 4: Simplify right side
    9,380.50x = 53,987,497.85
  5. Step 5: Solve for x
    x = 53,987,497.85/9,380.50
  6. Step 6: Final answer
    x = 5,755.29

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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.