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Finding the Fourth Proportional to 6,304.81, 9,451.93 and 2,744.27

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Solution

The fourth proportional to 6,304.81, 9,451.93 and 2,744.27 is: 4,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.81 : 9,451.93 = 2,744.27 : x
  2. Step 2: Convert to fraction form
    6,304.81/9,451.93 = 2,744.27/x
  3. Step 3: Cross multiply
    6,304.81x = 9,451.93 × 2,744.27
  4. Step 4: Simplify right side
    6,304.81x = 25,938,657.85
  5. Step 5: Solve for x
    x = 25,938,657.85/6,304.81
  6. Step 6: Final answer
    x = 4,114.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.