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Finding the Fourth Proportional to 6,133.88, 9,198.99 and 2,184.44

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Solution

The fourth proportional to 6,133.88, 9,198.99 and 2,184.44 is: 3,276.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.88 : 9,198.99 = 2,184.44 : x
  2. Step 2: Convert to fraction form
    6,133.88/9,198.99 = 2,184.44/x
  3. Step 3: Cross multiply
    6,133.88x = 9,198.99 × 2,184.44
  4. Step 4: Simplify right side
    6,133.88x = 20,094,595.72
  5. Step 5: Solve for x
    x = 20,094,595.72/6,133.88
  6. Step 6: Final answer
    x = 3,276.00

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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.