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Finding the Fourth Proportional to 6,102.36, 9,149.94 and 2,400.30

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Solution

The fourth proportional to 6,102.36, 9,149.94 and 2,400.30 is: 3,599.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.36 : 9,149.94 = 2,400.30 : x
  2. Step 2: Convert to fraction form
    6,102.36/9,149.94 = 2,400.30/x
  3. Step 3: Cross multiply
    6,102.36x = 9,149.94 × 2,400.30
  4. Step 4: Simplify right side
    6,102.36x = 21,962,600.98
  5. Step 5: Solve for x
    x = 21,962,600.98/6,102.36
  6. Step 6: Final answer
    x = 3,599.03

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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.