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Finding the Fourth Proportional to 6,234.54, 9,351.60 and 2,535.78

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Solution

The fourth proportional to 6,234.54, 9,351.60 and 2,535.78 is: 3,803.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.54 : 9,351.60 = 2,535.78 : x
  2. Step 2: Convert to fraction form
    6,234.54/9,351.60 = 2,535.78/x
  3. Step 3: Cross multiply
    6,234.54x = 9,351.60 × 2,535.78
  4. Step 4: Simplify right side
    6,234.54x = 23,713,600.25
  5. Step 5: Solve for x
    x = 23,713,600.25/6,234.54
  6. Step 6: Final answer
    x = 3,803.58

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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.