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Finding the Fourth Proportional to 6,688.41, 9,229.50 and 3,662.87

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Solution

The fourth proportional to 6,688.41, 9,229.50 and 3,662.87 is: 5,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.41 : 9,229.50 = 3,662.87 : x
  2. Step 2: Convert to fraction form
    6,688.41/9,229.50 = 3,662.87/x
  3. Step 3: Cross multiply
    6,688.41x = 9,229.50 × 3,662.87
  4. Step 4: Simplify right side
    6,688.41x = 33,806,412.52
  5. Step 5: Solve for x
    x = 33,806,412.52/6,688.41
  6. Step 6: Final answer
    x = 5,054.48

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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.