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Finding the Fourth Proportional to 9,791.32, 13,519.04 and 6,019.54

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Solution

The fourth proportional to 9,791.32, 13,519.04 and 6,019.54 is: 8,311.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.32 : 13,519.04 = 6,019.54 : x
  2. Step 2: Convert to fraction form
    9,791.32/13,519.04 = 6,019.54/x
  3. Step 3: Cross multiply
    9,791.32x = 13,519.04 × 6,019.54
  4. Step 4: Simplify right side
    9,791.32x = 81,378,371.94
  5. Step 5: Solve for x
    x = 81,378,371.94/9,791.32
  6. Step 6: Final answer
    x = 8,311.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.