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Finding the Fourth Proportional to 9,193.14, 13,791.78 and 3,349.77

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Solution

The fourth proportional to 9,193.14, 13,791.78 and 3,349.77 is: 5,025.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.14 : 13,791.78 = 3,349.77 : x
  2. Step 2: Convert to fraction form
    9,193.14/13,791.78 = 3,349.77/x
  3. Step 3: Cross multiply
    9,193.14x = 13,791.78 × 3,349.77
  4. Step 4: Simplify right side
    9,193.14x = 46,199,290.89
  5. Step 5: Solve for x
    x = 46,199,290.89/9,193.14
  6. Step 6: Final answer
    x = 5,025.41

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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.