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Finding the Fourth Proportional to 6,728.15, 9,284.72 and 3,744.02

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Solution

The fourth proportional to 6,728.15, 9,284.72 and 3,744.02 is: 5,166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.15 : 9,284.72 = 3,744.02 : x
  2. Step 2: Convert to fraction form
    6,728.15/9,284.72 = 3,744.02/x
  3. Step 3: Cross multiply
    6,728.15x = 9,284.72 × 3,744.02
  4. Step 4: Simplify right side
    6,728.15x = 34,762,181.87
  5. Step 5: Solve for x
    x = 34,762,181.87/6,728.15
  6. Step 6: Final answer
    x = 5,166.68

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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.