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Finding the Fourth Proportional to 6,728.00, 9,284.81 and 3,744.15

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Solution

The fourth proportional to 6,728.00, 9,284.81 and 3,744.15 is: 5,167.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.00 : 9,284.81 = 3,744.15 : x
  2. Step 2: Convert to fraction form
    6,728.00/9,284.81 = 3,744.15/x
  3. Step 3: Cross multiply
    6,728.00x = 9,284.81 × 3,744.15
  4. Step 4: Simplify right side
    6,728.00x = 34,763,702.64
  5. Step 5: Solve for x
    x = 34,763,702.64/6,728.00
  6. Step 6: Final answer
    x = 5,167.02

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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.