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Finding the Fourth Proportional to 6,728.84, 9,285.86 and 3,744.80

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Solution

The fourth proportional to 6,728.84, 9,285.86 and 3,744.80 is: 5,167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.84 : 9,285.86 = 3,744.80 : x
  2. Step 2: Convert to fraction form
    6,728.84/9,285.86 = 3,744.80/x
  3. Step 3: Cross multiply
    6,728.84x = 9,285.86 × 3,744.80
  4. Step 4: Simplify right side
    6,728.84x = 34,773,688.53
  5. Step 5: Solve for x
    x = 34,773,688.53/6,728.84
  6. Step 6: Final answer
    x = 5,167.86

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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.