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Finding the Fourth Proportional to 9,507.57, 14,265 and 3,959.42

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Solution

The fourth proportional to 9,507.57, 14,265 and 3,959.42 is: 5,940.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.57 : 14,265 = 3,959.42 : x
  2. Step 2: Convert to fraction form
    9,507.57/14,265 = 3,959.42/x
  3. Step 3: Cross multiply
    9,507.57x = 14,265 × 3,959.42
  4. Step 4: Simplify right side
    9,507.57x = 56,481,126.30
  5. Step 5: Solve for x
    x = 56,481,126.30/9,507.57
  6. Step 6: Final answer
    x = 5,940.65

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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.