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Finding the Fourth Proportional to 6,100.75, 9,145.23 and 2,401.75

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Solution

The fourth proportional to 6,100.75, 9,145.23 and 2,401.75 is: 3,600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.75 : 9,145.23 = 2,401.75 : x
  2. Step 2: Convert to fraction form
    6,100.75/9,145.23 = 2,401.75/x
  3. Step 3: Cross multiply
    6,100.75x = 9,145.23 × 2,401.75
  4. Step 4: Simplify right side
    6,100.75x = 21,964,556.15
  5. Step 5: Solve for x
    x = 21,964,556.15/6,100.75
  6. Step 6: Final answer
    x = 3,600.30

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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.