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Finding the Fourth Proportional to 9,201.84, 13,791.96 and 4,821.36

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Solution

The fourth proportional to 9,201.84, 13,791.96 and 4,821.36 is: 7,226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.84 : 13,791.96 = 4,821.36 : x
  2. Step 2: Convert to fraction form
    9,201.84/13,791.96 = 4,821.36/x
  3. Step 3: Cross multiply
    9,201.84x = 13,791.96 × 4,821.36
  4. Step 4: Simplify right side
    9,201.84x = 66,496,004.27
  5. Step 5: Solve for x
    x = 66,496,004.27/9,201.84
  6. Step 6: Final answer
    x = 7,226.38

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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.