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Finding the Fourth Proportional to 9,406, 14,108.46 and 2,832.04

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Solution

The fourth proportional to 9,406, 14,108.46 and 2,832.04 is: 4,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406 : 14,108.46 = 2,832.04 : x
  2. Step 2: Convert to fraction form
    9,406/14,108.46 = 2,832.04/x
  3. Step 3: Cross multiply
    9,406x = 14,108.46 × 2,832.04
  4. Step 4: Simplify right side
    9,406x = 39,955,723.06
  5. Step 5: Solve for x
    x = 39,955,723.06/9,406
  6. Step 6: Final answer
    x = 4,247.90

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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.