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Finding the Fourth Proportional to 9,512.99, 13,131.42 and 5,736.32

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Solution

The fourth proportional to 9,512.99, 13,131.42 and 5,736.32 is: 7,918.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.99 : 13,131.42 = 5,736.32 : x
  2. Step 2: Convert to fraction form
    9,512.99/13,131.42 = 5,736.32/x
  3. Step 3: Cross multiply
    9,512.99x = 13,131.42 × 5,736.32
  4. Step 4: Simplify right side
    9,512.99x = 75,325,989.25
  5. Step 5: Solve for x
    x = 75,325,989.25/9,512.99
  6. Step 6: Final answer
    x = 7,918.22

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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.