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Finding the Fourth Proportional to 9,832.44, 14,745.46 and 3,675

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Solution

The fourth proportional to 9,832.44, 14,745.46 and 3,675 is: 5,511.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.44 : 14,745.46 = 3,675 : x
  2. Step 2: Convert to fraction form
    9,832.44/14,745.46 = 3,675/x
  3. Step 3: Cross multiply
    9,832.44x = 14,745.46 × 3,675
  4. Step 4: Simplify right side
    9,832.44x = 54,189,565.50
  5. Step 5: Solve for x
    x = 54,189,565.50/9,832.44
  6. Step 6: Final answer
    x = 5,511.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.