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Finding the Fourth Proportional to 9,138.04, 12,611.70 and 5,160.44

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Solution

The fourth proportional to 9,138.04, 12,611.70 and 5,160.44 is: 7,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.04 : 12,611.70 = 5,160.44 : x
  2. Step 2: Convert to fraction form
    9,138.04/12,611.70 = 5,160.44/x
  3. Step 3: Cross multiply
    9,138.04x = 12,611.70 × 5,160.44
  4. Step 4: Simplify right side
    9,138.04x = 65,081,921.15
  5. Step 5: Solve for x
    x = 65,081,921.15/9,138.04
  6. Step 6: Final answer
    x = 7,122.09

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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.