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Finding the Fourth Proportional to 9,138.72, 12,611.66 and 5,159.89

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Solution

The fourth proportional to 9,138.72, 12,611.66 and 5,159.89 is: 7,120.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.72 : 12,611.66 = 5,159.89 : x
  2. Step 2: Convert to fraction form
    9,138.72/12,611.66 = 5,159.89/x
  3. Step 3: Cross multiply
    9,138.72x = 12,611.66 × 5,159.89
  4. Step 4: Simplify right side
    9,138.72x = 65,074,778.32
  5. Step 5: Solve for x
    x = 65,074,778.32/9,138.72
  6. Step 6: Final answer
    x = 7,120.78

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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.