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Finding the Fourth Proportional to 6,099.72, 9,150.24 and 2,401.44

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Solution

The fourth proportional to 6,099.72, 9,150.24 and 2,401.44 is: 3,602.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.72 : 9,150.24 = 2,401.44 : x
  2. Step 2: Convert to fraction form
    6,099.72/9,150.24 = 2,401.44/x
  3. Step 3: Cross multiply
    6,099.72x = 9,150.24 × 2,401.44
  4. Step 4: Simplify right side
    6,099.72x = 21,973,752.35
  5. Step 5: Solve for x
    x = 21,973,752.35/6,099.72
  6. Step 6: Final answer
    x = 3,602.42

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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.