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Finding the Fourth Proportional to 9,400.30, 12,967.49 and 5,814.11

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Solution

The fourth proportional to 9,400.30, 12,967.49 and 5,814.11 is: 8,020.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.30 : 12,967.49 = 5,814.11 : x
  2. Step 2: Convert to fraction form
    9,400.30/12,967.49 = 5,814.11/x
  3. Step 3: Cross multiply
    9,400.30x = 12,967.49 × 5,814.11
  4. Step 4: Simplify right side
    9,400.30x = 75,394,413.28
  5. Step 5: Solve for x
    x = 75,394,413.28/9,400.30
  6. Step 6: Final answer
    x = 8,020.43

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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.