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Finding the Fourth Proportional to 9,091.64, 13,637.82 and 3,893.96

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Solution

The fourth proportional to 9,091.64, 13,637.82 and 3,893.96 is: 5,841.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.64 : 13,637.82 = 3,893.96 : x
  2. Step 2: Convert to fraction form
    9,091.64/13,637.82 = 3,893.96/x
  3. Step 3: Cross multiply
    9,091.64x = 13,637.82 × 3,893.96
  4. Step 4: Simplify right side
    9,091.64x = 53,105,125.57
  5. Step 5: Solve for x
    x = 53,105,125.57/9,091.64
  6. Step 6: Final answer
    x = 5,841.09

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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.