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Finding the Fourth Proportional to 9,754.26, 14,633.22 and 4,811.64

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Solution

The fourth proportional to 9,754.26, 14,633.22 and 4,811.64 is: 7,218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.26 : 14,633.22 = 4,811.64 : x
  2. Step 2: Convert to fraction form
    9,754.26/14,633.22 = 4,811.64/x
  3. Step 3: Cross multiply
    9,754.26x = 14,633.22 × 4,811.64
  4. Step 4: Simplify right side
    9,754.26x = 70,409,786.68
  5. Step 5: Solve for x
    x = 70,409,786.68/9,754.26
  6. Step 6: Final answer
    x = 7,218.36

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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.