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Finding the Fourth Proportional to 9,382.80, 14,073.25 and 2,808.98

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Solution

The fourth proportional to 9,382.80, 14,073.25 and 2,808.98 is: 4,213.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.80 : 14,073.25 = 2,808.98 : x
  2. Step 2: Convert to fraction form
    9,382.80/14,073.25 = 2,808.98/x
  3. Step 3: Cross multiply
    9,382.80x = 14,073.25 × 2,808.98
  4. Step 4: Simplify right side
    9,382.80x = 39,531,477.79
  5. Step 5: Solve for x
    x = 39,531,477.79/9,382.80
  6. Step 6: Final answer
    x = 4,213.19

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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.