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Finding the Fourth Proportional to 9,704.43, 14,553.99 and 2,682.77

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Solution

The fourth proportional to 9,704.43, 14,553.99 and 2,682.77 is: 4,023.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.43 : 14,553.99 = 2,682.77 : x
  2. Step 2: Convert to fraction form
    9,704.43/14,553.99 = 2,682.77/x
  3. Step 3: Cross multiply
    9,704.43x = 14,553.99 × 2,682.77
  4. Step 4: Simplify right side
    9,704.43x = 39,044,934.98
  5. Step 5: Solve for x
    x = 39,044,934.98/9,704.43
  6. Step 6: Final answer
    x = 4,023.41

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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.