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Finding the Fourth Proportional to 9,792.09, 14,676.10 and 3,863.02

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Solution

The fourth proportional to 9,792.09, 14,676.10 and 3,863.02 is: 5,789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.09 : 14,676.10 = 3,863.02 : x
  2. Step 2: Convert to fraction form
    9,792.09/14,676.10 = 3,863.02/x
  3. Step 3: Cross multiply
    9,792.09x = 14,676.10 × 3,863.02
  4. Step 4: Simplify right side
    9,792.09x = 56,694,067.82
  5. Step 5: Solve for x
    x = 56,694,067.82/9,792.09
  6. Step 6: Final answer
    x = 5,789.78

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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.