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Finding the Fourth Proportional to 9,047.22, 13,571.64 and 3,203.88

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Solution

The fourth proportional to 9,047.22, 13,571.64 and 3,203.88 is: 4,806.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.22 : 13,571.64 = 3,203.88 : x
  2. Step 2: Convert to fraction form
    9,047.22/13,571.64 = 3,203.88/x
  3. Step 3: Cross multiply
    9,047.22x = 13,571.64 × 3,203.88
  4. Step 4: Simplify right side
    9,047.22x = 43,481,905.96
  5. Step 5: Solve for x
    x = 43,481,905.96/9,047.22
  6. Step 6: Final answer
    x = 4,806.11

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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.