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Finding the Fourth Proportional to 6,747.59, 9,311.69 and 3,722.64

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Solution

The fourth proportional to 6,747.59, 9,311.69 and 3,722.64 is: 5,137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747.59 : 9,311.69 = 3,722.64 : x
  2. Step 2: Convert to fraction form
    6,747.59/9,311.69 = 3,722.64/x
  3. Step 3: Cross multiply
    6,747.59x = 9,311.69 × 3,722.64
  4. Step 4: Simplify right side
    6,747.59x = 34,664,051.05
  5. Step 5: Solve for x
    x = 34,664,051.05/6,747.59
  6. Step 6: Final answer
    x = 5,137.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.