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Finding the Fourth Proportional to 6,722.40, 9,277.23 and 3,738.19

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Solution

The fourth proportional to 6,722.40, 9,277.23 and 3,738.19 is: 5,158.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.40 : 9,277.23 = 3,738.19 : x
  2. Step 2: Convert to fraction form
    6,722.40/9,277.23 = 3,738.19/x
  3. Step 3: Cross multiply
    6,722.40x = 9,277.23 × 3,738.19
  4. Step 4: Simplify right side
    6,722.40x = 34,680,048.41
  5. Step 5: Solve for x
    x = 34,680,048.41/6,722.40
  6. Step 6: Final answer
    x = 5,158.88

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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.