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Finding the Fourth Proportional to 9,443.80, 14,165.10 and 3,203.80

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Solution

The fourth proportional to 9,443.80, 14,165.10 and 3,203.80 is: 4,805.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.80 : 14,165.10 = 3,203.80 : x
  2. Step 2: Convert to fraction form
    9,443.80/14,165.10 = 3,203.80/x
  3. Step 3: Cross multiply
    9,443.80x = 14,165.10 × 3,203.80
  4. Step 4: Simplify right side
    9,443.80x = 45,382,147.38
  5. Step 5: Solve for x
    x = 45,382,147.38/9,443.80
  6. Step 6: Final answer
    x = 4,805.50

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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.