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Finding the Fourth Proportional to 6,486.28, 9,716.22 and 3,362.92

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Solution

The fourth proportional to 6,486.28, 9,716.22 and 3,362.92 is: 5,037.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.28 : 9,716.22 = 3,362.92 : x
  2. Step 2: Convert to fraction form
    6,486.28/9,716.22 = 3,362.92/x
  3. Step 3: Cross multiply
    6,486.28x = 9,716.22 × 3,362.92
  4. Step 4: Simplify right side
    6,486.28x = 32,674,870.56
  5. Step 5: Solve for x
    x = 32,674,870.56/6,486.28
  6. Step 6: Final answer
    x = 5,037.54

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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.