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Finding the Fourth Proportional to 6,824.56, 9,418.26 and 3,840.52

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Solution

The fourth proportional to 6,824.56, 9,418.26 and 3,840.52 is: 5,300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.56 : 9,418.26 = 3,840.52 : x
  2. Step 2: Convert to fraction form
    6,824.56/9,418.26 = 3,840.52/x
  3. Step 3: Cross multiply
    6,824.56x = 9,418.26 × 3,840.52
  4. Step 4: Simplify right side
    6,824.56x = 36,171,015.90
  5. Step 5: Solve for x
    x = 36,171,015.90/6,824.56
  6. Step 6: Final answer
    x = 5,300.12

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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.