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Finding the Fourth Proportional to 6,659.98, 9,991.74 and 2,277.43

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Solution

The fourth proportional to 6,659.98, 9,991.74 and 2,277.43 is: 3,416.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.98 : 9,991.74 = 2,277.43 : x
  2. Step 2: Convert to fraction form
    6,659.98/9,991.74 = 2,277.43/x
  3. Step 3: Cross multiply
    6,659.98x = 9,991.74 × 2,277.43
  4. Step 4: Simplify right side
    6,659.98x = 22,755,488.43
  5. Step 5: Solve for x
    x = 22,755,488.43/6,659.98
  6. Step 6: Final answer
    x = 3,416.75

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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.