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Finding the Fourth Proportional to 9,959.38, 13,743.42 and 5,482.26

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Solution

The fourth proportional to 9,959.38, 13,743.42 and 5,482.26 is: 7,565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.38 : 13,743.42 = 5,482.26 : x
  2. Step 2: Convert to fraction form
    9,959.38/13,743.42 = 5,482.26/x
  3. Step 3: Cross multiply
    9,959.38x = 13,743.42 × 5,482.26
  4. Step 4: Simplify right side
    9,959.38x = 75,345,001.73
  5. Step 5: Solve for x
    x = 75,345,001.73/9,959.38
  6. Step 6: Final answer
    x = 7,565.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.