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Finding the Fourth Proportional to 6,561.68, 9,843.92 and 2,401.67

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Solution

The fourth proportional to 6,561.68, 9,843.92 and 2,401.67 is: 3,603.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.68 : 9,843.92 = 2,401.67 : x
  2. Step 2: Convert to fraction form
    6,561.68/9,843.92 = 2,401.67/x
  3. Step 3: Cross multiply
    6,561.68x = 9,843.92 × 2,401.67
  4. Step 4: Simplify right side
    6,561.68x = 23,641,786.12
  5. Step 5: Solve for x
    x = 23,641,786.12/6,561.68
  6. Step 6: Final answer
    x = 3,603.01

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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.