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Finding the Fourth Proportional to 9,361.96, 12,921.38 and 5,385.80

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Solution

The fourth proportional to 9,361.96, 12,921.38 and 5,385.80 is: 7,433.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,361.96 : 12,921.38 = 5,385.80 : x
  2. Step 2: Convert to fraction form
    9,361.96/12,921.38 = 5,385.80/x
  3. Step 3: Cross multiply
    9,361.96x = 12,921.38 × 5,385.80
  4. Step 4: Simplify right side
    9,361.96x = 69,591,968.40
  5. Step 5: Solve for x
    x = 69,591,968.40/9,361.96
  6. Step 6: Final answer
    x = 7,433.48

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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.