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Finding the Fourth Proportional to 9,138.26, 12,609.38 and 5,159.29

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Solution

The fourth proportional to 9,138.26, 12,609.38 and 5,159.29 is: 7,119.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.26 : 12,609.38 = 5,159.29 : x
  2. Step 2: Convert to fraction form
    9,138.26/12,609.38 = 5,159.29/x
  3. Step 3: Cross multiply
    9,138.26x = 12,609.38 × 5,159.29
  4. Step 4: Simplify right side
    9,138.26x = 65,055,390.82
  5. Step 5: Solve for x
    x = 65,055,390.82/9,138.26
  6. Step 6: Final answer
    x = 7,119.01

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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.