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Finding the Fourth Proportional to 8,147.99, 12,184.63 and 6,069.43

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Solution

The fourth proportional to 8,147.99, 12,184.63 and 6,069.43 is: 9,076.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.99 : 12,184.63 = 6,069.43 : x
  2. Step 2: Convert to fraction form
    8,147.99/12,184.63 = 6,069.43/x
  3. Step 3: Cross multiply
    8,147.99x = 12,184.63 × 6,069.43
  4. Step 4: Simplify right side
    8,147.99x = 73,953,758.92
  5. Step 5: Solve for x
    x = 73,953,758.92/8,147.99
  6. Step 6: Final answer
    x = 9,076.32

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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.