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Finding the Fourth Proportional to 9,929.43, 13,704.09 and 5,951.52

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Solution

The fourth proportional to 9,929.43, 13,704.09 and 5,951.52 is: 8,213.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.43 : 13,704.09 = 5,951.52 : x
  2. Step 2: Convert to fraction form
    9,929.43/13,704.09 = 5,951.52/x
  3. Step 3: Cross multiply
    9,929.43x = 13,704.09 × 5,951.52
  4. Step 4: Simplify right side
    9,929.43x = 81,560,165.72
  5. Step 5: Solve for x
    x = 81,560,165.72/9,929.43
  6. Step 6: Final answer
    x = 8,213.98

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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.