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Finding the Fourth Proportional to 9,201.78, 13,791.86 and 4,260.98

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Solution

The fourth proportional to 9,201.78, 13,791.86 and 4,260.98 is: 6,386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.78 : 13,791.86 = 4,260.98 : x
  2. Step 2: Convert to fraction form
    9,201.78/13,791.86 = 4,260.98/x
  3. Step 3: Cross multiply
    9,201.78x = 13,791.86 × 4,260.98
  4. Step 4: Simplify right side
    9,201.78x = 58,766,839.62
  5. Step 5: Solve for x
    x = 58,766,839.62/9,201.78
  6. Step 6: Final answer
    x = 6,386.46

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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.