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Finding the Fourth Proportional to 9,633.33, 13,289.36 and 6,801.21

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Solution

The fourth proportional to 9,633.33, 13,289.36 and 6,801.21 is: 9,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.33 : 13,289.36 = 6,801.21 : x
  2. Step 2: Convert to fraction form
    9,633.33/13,289.36 = 6,801.21/x
  3. Step 3: Cross multiply
    9,633.33x = 13,289.36 × 6,801.21
  4. Step 4: Simplify right side
    9,633.33x = 90,383,694.12
  5. Step 5: Solve for x
    x = 90,383,694.12/9,633.33
  6. Step 6: Final answer
    x = 9,382.39

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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.