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Finding the Fourth Proportional to 6,166.85, 9,249.45 and 3,525.78

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Solution

The fourth proportional to 6,166.85, 9,249.45 and 3,525.78 is: 5,288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.85 : 9,249.45 = 3,525.78 : x
  2. Step 2: Convert to fraction form
    6,166.85/9,249.45 = 3,525.78/x
  3. Step 3: Cross multiply
    6,166.85x = 9,249.45 × 3,525.78
  4. Step 4: Simplify right side
    6,166.85x = 32,611,525.82
  5. Step 5: Solve for x
    x = 32,611,525.82/6,166.85
  6. Step 6: Final answer
    x = 5,288.20

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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.