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Finding the Fourth Proportional to 6,697.67, 9,243.20 and 3,864.99

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Solution

The fourth proportional to 6,697.67, 9,243.20 and 3,864.99 is: 5,333.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.67 : 9,243.20 = 3,864.99 : x
  2. Step 2: Convert to fraction form
    6,697.67/9,243.20 = 3,864.99/x
  3. Step 3: Cross multiply
    6,697.67x = 9,243.20 × 3,864.99
  4. Step 4: Simplify right side
    6,697.67x = 35,724,856.24
  5. Step 5: Solve for x
    x = 35,724,856.24/6,697.67
  6. Step 6: Final answer
    x = 5,333.93

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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.