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Finding the Fourth Proportional to 9,205.44, 13,813.44 and 3,361.28

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Solution

The fourth proportional to 9,205.44, 13,813.44 and 3,361.28 is: 5,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.44 : 13,813.44 = 3,361.28 : x
  2. Step 2: Convert to fraction form
    9,205.44/13,813.44 = 3,361.28/x
  3. Step 3: Cross multiply
    9,205.44x = 13,813.44 × 3,361.28
  4. Step 4: Simplify right side
    9,205.44x = 46,430,839.60
  5. Step 5: Solve for x
    x = 46,430,839.60/9,205.44
  6. Step 6: Final answer
    x = 5,043.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.