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Finding the Fourth Proportional to 9,406.73, 14,109.49 and 2,832.98

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Solution

The fourth proportional to 9,406.73, 14,109.49 and 2,832.98 is: 4,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.73 : 14,109.49 = 2,832.98 : x
  2. Step 2: Convert to fraction form
    9,406.73/14,109.49 = 2,832.98/x
  3. Step 3: Cross multiply
    9,406.73x = 14,109.49 × 2,832.98
  4. Step 4: Simplify right side
    9,406.73x = 39,971,835.97
  5. Step 5: Solve for x
    x = 39,971,835.97/9,406.73
  6. Step 6: Final answer
    x = 4,249.28

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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.