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Finding the Fourth Proportional to 9,791.28, 13,518.98 and 6,019.50

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Solution

The fourth proportional to 9,791.28, 13,518.98 and 6,019.50 is: 8,311.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.28 : 13,518.98 = 6,019.50 : x
  2. Step 2: Convert to fraction form
    9,791.28/13,518.98 = 6,019.50/x
  3. Step 3: Cross multiply
    9,791.28x = 13,518.98 × 6,019.50
  4. Step 4: Simplify right side
    9,791.28x = 81,377,500.11
  5. Step 5: Solve for x
    x = 81,377,500.11/9,791.28
  6. Step 6: Final answer
    x = 8,311.22

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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.