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Finding the Fourth Proportional to 9,138.24, 12,609.42 and 5,159.27

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Solution

The fourth proportional to 9,138.24, 12,609.42 and 5,159.27 is: 7,119.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.24 : 12,609.42 = 5,159.27 : x
  2. Step 2: Convert to fraction form
    9,138.24/12,609.42 = 5,159.27/x
  3. Step 3: Cross multiply
    9,138.24x = 12,609.42 × 5,159.27
  4. Step 4: Simplify right side
    9,138.24x = 65,055,408.06
  5. Step 5: Solve for x
    x = 65,055,408.06/9,138.24
  6. Step 6: Final answer
    x = 7,119.03

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