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Finding the Fourth Proportional to 9,694.44, 14,527.58 and 5,997.80

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Solution

The fourth proportional to 9,694.44, 14,527.58 and 5,997.80 is: 8,987.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.44 : 14,527.58 = 5,997.80 : x
  2. Step 2: Convert to fraction form
    9,694.44/14,527.58 = 5,997.80/x
  3. Step 3: Cross multiply
    9,694.44x = 14,527.58 × 5,997.80
  4. Step 4: Simplify right side
    9,694.44x = 87,133,519.32
  5. Step 5: Solve for x
    x = 87,133,519.32/9,694.44
  6. Step 6: Final answer
    x = 8,987.99

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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.