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Finding the Fourth Proportional to 6,496.02, 9,745.78 and 2,336.48

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Solution

The fourth proportional to 6,496.02, 9,745.78 and 2,336.48 is: 3,505.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.02 : 9,745.78 = 2,336.48 : x
  2. Step 2: Convert to fraction form
    6,496.02/9,745.78 = 2,336.48/x
  3. Step 3: Cross multiply
    6,496.02x = 9,745.78 × 2,336.48
  4. Step 4: Simplify right side
    6,496.02x = 22,770,820.05
  5. Step 5: Solve for x
    x = 22,770,820.05/6,496.02
  6. Step 6: Final answer
    x = 3,505.35

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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.