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Finding the Fourth Proportional to 9,099.70, 13,627.63 and 5,192.26

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Solution

The fourth proportional to 9,099.70, 13,627.63 and 5,192.26 is: 7,775.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.70 : 13,627.63 = 5,192.26 : x
  2. Step 2: Convert to fraction form
    9,099.70/13,627.63 = 5,192.26/x
  3. Step 3: Cross multiply
    9,099.70x = 13,627.63 × 5,192.26
  4. Step 4: Simplify right side
    9,099.70x = 70,758,198.14
  5. Step 5: Solve for x
    x = 70,758,198.14/9,099.70
  6. Step 6: Final answer
    x = 7,775.88

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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.