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Finding the Fourth Proportional to 9,201.42, 13,791.20 and 5,297.76

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Solution

The fourth proportional to 9,201.42, 13,791.20 and 5,297.76 is: 7,940.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.42 : 13,791.20 = 5,297.76 : x
  2. Step 2: Convert to fraction form
    9,201.42/13,791.20 = 5,297.76/x
  3. Step 3: Cross multiply
    9,201.42x = 13,791.20 × 5,297.76
  4. Step 4: Simplify right side
    9,201.42x = 73,062,441.22
  5. Step 5: Solve for x
    x = 73,062,441.22/9,201.42
  6. Step 6: Final answer
    x = 7,940.34

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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.