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Finding the Fourth Proportional to 7,135.07, 9,846.42 and 3,991.25

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Solution

The fourth proportional to 7,135.07, 9,846.42 and 3,991.25 is: 5,507.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.07 : 9,846.42 = 3,991.25 : x
  2. Step 2: Convert to fraction form
    7,135.07/9,846.42 = 3,991.25/x
  3. Step 3: Cross multiply
    7,135.07x = 9,846.42 × 3,991.25
  4. Step 4: Simplify right side
    7,135.07x = 39,299,523.83
  5. Step 5: Solve for x
    x = 39,299,523.83/7,135.07
  6. Step 6: Final answer
    x = 5,507.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.