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Finding the Fourth Proportional to 9,339.96, 12,889.38 and 5,361.78

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Solution

The fourth proportional to 9,339.96, 12,889.38 and 5,361.78 is: 7,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,339.96 : 12,889.38 = 5,361.78 : x
  2. Step 2: Convert to fraction form
    9,339.96/12,889.38 = 5,361.78/x
  3. Step 3: Cross multiply
    9,339.96x = 12,889.38 × 5,361.78
  4. Step 4: Simplify right side
    9,339.96x = 69,110,019.90
  5. Step 5: Solve for x
    x = 69,110,019.90/9,339.96
  6. Step 6: Final answer
    x = 7,399.39

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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.