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Finding the Fourth Proportional to 6,728.16, 9,284.96 and 3,744.02

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Solution

The fourth proportional to 6,728.16, 9,284.96 and 3,744.02 is: 5,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.16 : 9,284.96 = 3,744.02 : x
  2. Step 2: Convert to fraction form
    6,728.16/9,284.96 = 3,744.02/x
  3. Step 3: Cross multiply
    6,728.16x = 9,284.96 × 3,744.02
  4. Step 4: Simplify right side
    6,728.16x = 34,763,075.94
  5. Step 5: Solve for x
    x = 34,763,075.94/6,728.16
  6. Step 6: Final answer
    x = 5,166.80

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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.