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Finding the Fourth Proportional to 9,029.80, 13,544.22 and 3,184.84

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Solution

The fourth proportional to 9,029.80, 13,544.22 and 3,184.84 is: 4,777.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.80 : 13,544.22 = 3,184.84 : x
  2. Step 2: Convert to fraction form
    9,029.80/13,544.22 = 3,184.84/x
  3. Step 3: Cross multiply
    9,029.80x = 13,544.22 × 3,184.84
  4. Step 4: Simplify right side
    9,029.80x = 43,136,173.62
  5. Step 5: Solve for x
    x = 43,136,173.62/9,029.80
  6. Step 6: Final answer
    x = 4,777.09

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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.