Home / 9,514-13,121.26-5,736.34

Finding the Fourth Proportional to 9,514, 13,121.26 and 5,736.34

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Solution

The fourth proportional to 9,514, 13,121.26 and 5,736.34 is: 7,911.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514 : 13,121.26 = 5,736.34 : x
  2. Step 2: Convert to fraction form
    9,514/13,121.26 = 5,736.34/x
  3. Step 3: Cross multiply
    9,514x = 13,121.26 × 5,736.34
  4. Step 4: Simplify right side
    9,514x = 75,268,008.59
  5. Step 5: Solve for x
    x = 75,268,008.59/9,514
  6. Step 6: Final answer
    x = 7,911.29

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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.