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Finding the Fourth Proportional to 9,351.30, 14,020.20 and 3,801.90

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Solution

The fourth proportional to 9,351.30, 14,020.20 and 3,801.90 is: 5,700.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.30 : 14,020.20 = 3,801.90 : x
  2. Step 2: Convert to fraction form
    9,351.30/14,020.20 = 3,801.90/x
  3. Step 3: Cross multiply
    9,351.30x = 14,020.20 × 3,801.90
  4. Step 4: Simplify right side
    9,351.30x = 53,303,398.38
  5. Step 5: Solve for x
    x = 53,303,398.38/9,351.30
  6. Step 6: Final answer
    x = 5,700.11

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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.