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Finding the Fourth Proportional to 9,203.23, 13,801.78 and 2,961.78

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Solution

The fourth proportional to 9,203.23, 13,801.78 and 2,961.78 is: 4,441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.23 : 13,801.78 = 2,961.78 : x
  2. Step 2: Convert to fraction form
    9,203.23/13,801.78 = 2,961.78/x
  3. Step 3: Cross multiply
    9,203.23x = 13,801.78 × 2,961.78
  4. Step 4: Simplify right side
    9,203.23x = 40,877,835.97
  5. Step 5: Solve for x
    x = 40,877,835.97/9,203.23
  6. Step 6: Final answer
    x = 4,441.68

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1.5x scale

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.