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Finding the Fourth Proportional to 9,832.64, 14,745.05 and 3,591.23

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Solution

The fourth proportional to 9,832.64, 14,745.05 and 3,591.23 is: 5,385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.64 : 14,745.05 = 3,591.23 : x
  2. Step 2: Convert to fraction form
    9,832.64/14,745.05 = 3,591.23/x
  3. Step 3: Cross multiply
    9,832.64x = 14,745.05 × 3,591.23
  4. Step 4: Simplify right side
    9,832.64x = 52,952,847.96
  5. Step 5: Solve for x
    x = 52,952,847.96/9,832.64
  6. Step 6: Final answer
    x = 5,385.42

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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.