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Finding the Fourth Proportional to 9,399.54, 12,955.13 and 8,197.03

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Solution

The fourth proportional to 9,399.54, 12,955.13 and 8,197.03 is: 11,297.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.54 : 12,955.13 = 8,197.03 : x
  2. Step 2: Convert to fraction form
    9,399.54/12,955.13 = 8,197.03/x
  3. Step 3: Cross multiply
    9,399.54x = 12,955.13 × 8,197.03
  4. Step 4: Simplify right side
    9,399.54x = 106,193,589.26
  5. Step 5: Solve for x
    x = 106,193,589.26/9,399.54
  6. Step 6: Final answer
    x = 11,297.74

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1.5x scale

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.