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Finding the Fourth Proportional to 6,540.33, 9,024.99 and 3,887.24

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Solution

The fourth proportional to 6,540.33, 9,024.99 and 3,887.24 is: 5,363.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.33 : 9,024.99 = 3,887.24 : x
  2. Step 2: Convert to fraction form
    6,540.33/9,024.99 = 3,887.24/x
  3. Step 3: Cross multiply
    6,540.33x = 9,024.99 × 3,887.24
  4. Step 4: Simplify right side
    6,540.33x = 35,082,242.43
  5. Step 5: Solve for x
    x = 35,082,242.43/6,540.33
  6. Step 6: Final answer
    x = 5,363.98

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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.