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Finding the Fourth Proportional to 9,164.44, 13,763.59 and 5,489.26

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Solution

The fourth proportional to 9,164.44, 13,763.59 and 5,489.26 is: 8,244.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.44 : 13,763.59 = 5,489.26 : x
  2. Step 2: Convert to fraction form
    9,164.44/13,763.59 = 5,489.26/x
  3. Step 3: Cross multiply
    9,164.44x = 13,763.59 × 5,489.26
  4. Step 4: Simplify right side
    9,164.44x = 75,551,924.04
  5. Step 5: Solve for x
    x = 75,551,924.04/9,164.44
  6. Step 6: Final answer
    x = 8,244.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.