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Finding the Fourth Proportional to 9,201.96, 13,782.17 and 4,261.22

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Solution

The fourth proportional to 9,201.96, 13,782.17 and 4,261.22 is: 6,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.96 : 13,782.17 = 4,261.22 : x
  2. Step 2: Convert to fraction form
    9,201.96/13,782.17 = 4,261.22/x
  3. Step 3: Cross multiply
    9,201.96x = 13,782.17 × 4,261.22
  4. Step 4: Simplify right side
    9,201.96x = 58,728,851.87
  5. Step 5: Solve for x
    x = 58,728,851.87/9,201.96
  6. Step 6: Final answer
    x = 6,382.21

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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.