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Finding the Fourth Proportional to 9,829, 14,745.94 and 3,255.86

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Solution

The fourth proportional to 9,829, 14,745.94 and 3,255.86 is: 4,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829 : 14,745.94 = 3,255.86 : x
  2. Step 2: Convert to fraction form
    9,829/14,745.94 = 3,255.86/x
  3. Step 3: Cross multiply
    9,829x = 14,745.94 × 3,255.86
  4. Step 4: Simplify right side
    9,829x = 48,010,716.21
  5. Step 5: Solve for x
    x = 48,010,716.21/9,829
  6. Step 6: Final answer
    x = 4,884.60

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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.