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Finding the Fourth Proportional to 29,137.68, 43,711.38 and 9,413.91

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Solution

The fourth proportional to 29,137.68, 43,711.38 and 9,413.91 is: 14,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,137.68 : 43,711.38 = 9,413.91 : x
  2. Step 2: Convert to fraction form
    29,137.68/43,711.38 = 9,413.91/x
  3. Step 3: Cross multiply
    29,137.68x = 43,711.38 × 9,413.91
  4. Step 4: Simplify right side
    29,137.68x = 411,494,997.30
  5. Step 5: Solve for x
    x = 411,494,997.30/29,137.68
  6. Step 6: Final answer
    x = 14,122.44

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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.