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Finding the Fourth Proportional to 9,791.28, 14,675.99 and 4,249.26

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Solution

The fourth proportional to 9,791.28, 14,675.99 and 4,249.26 is: 6,369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.28 : 14,675.99 = 4,249.26 : x
  2. Step 2: Convert to fraction form
    9,791.28/14,675.99 = 4,249.26/x
  3. Step 3: Cross multiply
    9,791.28x = 14,675.99 × 4,249.26
  4. Step 4: Simplify right side
    9,791.28x = 62,362,076.02
  5. Step 5: Solve for x
    x = 62,362,076.02/9,791.28
  6. Step 6: Final answer
    x = 6,369.14

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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.