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Finding the Fourth Proportional to 9,161.61, 13,744.91 and 3,893.77

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Solution

The fourth proportional to 9,161.61, 13,744.91 and 3,893.77 is: 5,841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.61 : 13,744.91 = 3,893.77 : x
  2. Step 2: Convert to fraction form
    9,161.61/13,744.91 = 3,893.77/x
  3. Step 3: Cross multiply
    9,161.61x = 13,744.91 × 3,893.77
  4. Step 4: Simplify right side
    9,161.61x = 53,519,518.21
  5. Step 5: Solve for x
    x = 53,519,518.21/9,161.61
  6. Step 6: Final answer
    x = 5,841.72

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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.