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Finding the Fourth Proportional to 9,321.80, 13,983.02 and 3,165

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Solution

The fourth proportional to 9,321.80, 13,983.02 and 3,165 is: 4,747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.80 : 13,983.02 = 3,165 : x
  2. Step 2: Convert to fraction form
    9,321.80/13,983.02 = 3,165/x
  3. Step 3: Cross multiply
    9,321.80x = 13,983.02 × 3,165
  4. Step 4: Simplify right side
    9,321.80x = 44,256,258.30
  5. Step 5: Solve for x
    x = 44,256,258.30/9,321.80
  6. Step 6: Final answer
    x = 4,747.61

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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.