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Finding the Fourth Proportional to 9,824.75, 13,563.38 and 7,889.52

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Solution

The fourth proportional to 9,824.75, 13,563.38 and 7,889.52 is: 10,891.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.75 : 13,563.38 = 7,889.52 : x
  2. Step 2: Convert to fraction form
    9,824.75/13,563.38 = 7,889.52/x
  3. Step 3: Cross multiply
    9,824.75x = 13,563.38 × 7,889.52
  4. Step 4: Simplify right side
    9,824.75x = 107,008,628.36
  5. Step 5: Solve for x
    x = 107,008,628.36/9,824.75
  6. Step 6: Final answer
    x = 10,891.74

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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.