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Finding the Fourth Proportional to 9,200.40, 13,791.24 and 4,005.36

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Solution

The fourth proportional to 9,200.40, 13,791.24 and 4,005.36 is: 6,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.40 : 13,791.24 = 4,005.36 : x
  2. Step 2: Convert to fraction form
    9,200.40/13,791.24 = 4,005.36/x
  3. Step 3: Cross multiply
    9,200.40x = 13,791.24 × 4,005.36
  4. Step 4: Simplify right side
    9,200.40x = 55,238,881.05
  5. Step 5: Solve for x
    x = 55,238,881.05/9,200.40
  6. Step 6: Final answer
    x = 6,003.97

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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.