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Finding the Fourth Proportional to 6,707.77, 9,257.83 and 3,724.56

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Solution

The fourth proportional to 6,707.77, 9,257.83 and 3,724.56 is: 5,140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.77 : 9,257.83 = 3,724.56 : x
  2. Step 2: Convert to fraction form
    6,707.77/9,257.83 = 3,724.56/x
  3. Step 3: Cross multiply
    6,707.77x = 9,257.83 × 3,724.56
  4. Step 4: Simplify right side
    6,707.77x = 34,481,343.30
  5. Step 5: Solve for x
    x = 34,481,343.30/6,707.77
  6. Step 6: Final answer
    x = 5,140.51

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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.