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Finding the Fourth Proportional to 29,193.25, 43,785.76 and 9,471.98

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Solution

The fourth proportional to 29,193.25, 43,785.76 and 9,471.98 is: 14,206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,193.25 : 43,785.76 = 9,471.98 : x
  2. Step 2: Convert to fraction form
    29,193.25/43,785.76 = 9,471.98/x
  3. Step 3: Cross multiply
    29,193.25x = 43,785.76 × 9,471.98
  4. Step 4: Simplify right side
    29,193.25x = 414,737,843.00
  5. Step 5: Solve for x
    x = 414,737,843.00/29,193.25
  6. Step 6: Final answer
    x = 14,206.63

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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.