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Finding the Fourth Proportional to 6,166.20, 9,249.30 and 1,549.20

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Solution

The fourth proportional to 6,166.20, 9,249.30 and 1,549.20 is: 2,323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.20 : 9,249.30 = 1,549.20 : x
  2. Step 2: Convert to fraction form
    6,166.20/9,249.30 = 1,549.20/x
  3. Step 3: Cross multiply
    6,166.20x = 9,249.30 × 1,549.20
  4. Step 4: Simplify right side
    6,166.20x = 14,329,015.56
  5. Step 5: Solve for x
    x = 14,329,015.56/6,166.20
  6. Step 6: Final answer
    x = 2,323.80

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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.