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Finding the Fourth Proportional to 9,791.54, 13,511.31 and 5,600.06

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Solution

The fourth proportional to 9,791.54, 13,511.31 and 5,600.06 is: 7,727.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.54 : 13,511.31 = 5,600.06 : x
  2. Step 2: Convert to fraction form
    9,791.54/13,511.31 = 5,600.06/x
  3. Step 3: Cross multiply
    9,791.54x = 13,511.31 × 5,600.06
  4. Step 4: Simplify right side
    9,791.54x = 75,664,146.68
  5. Step 5: Solve for x
    x = 75,664,146.68/9,791.54
  6. Step 6: Final answer
    x = 7,727.50

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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.