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Finding the Fourth Proportional to 9,138.96, 12,611.87 and 5,362.19

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Solution

The fourth proportional to 9,138.96, 12,611.87 and 5,362.19 is: 7,399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.96 : 12,611.87 = 5,362.19 : x
  2. Step 2: Convert to fraction form
    9,138.96/12,611.87 = 5,362.19/x
  3. Step 3: Cross multiply
    9,138.96x = 12,611.87 × 5,362.19
  4. Step 4: Simplify right side
    9,138.96x = 67,627,216.38
  5. Step 5: Solve for x
    x = 67,627,216.38/9,138.96
  6. Step 6: Final answer
    x = 7,399.88

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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.