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Finding the Fourth Proportional to 9,872.49, 13,615.21 and 8,191.23

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Solution

The fourth proportional to 9,872.49, 13,615.21 and 8,191.23 is: 11,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.49 : 13,615.21 = 8,191.23 : x
  2. Step 2: Convert to fraction form
    9,872.49/13,615.21 = 8,191.23/x
  3. Step 3: Cross multiply
    9,872.49x = 13,615.21 × 8,191.23
  4. Step 4: Simplify right side
    9,872.49x = 111,525,296.13
  5. Step 5: Solve for x
    x = 111,525,296.13/9,872.49
  6. Step 6: Final answer
    x = 11,296.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.