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Finding the Fourth Proportional to 6,449.24, 9,666.79 and 3,329.48

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Solution

The fourth proportional to 6,449.24, 9,666.79 and 3,329.48 is: 4,990.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.24 : 9,666.79 = 3,329.48 : x
  2. Step 2: Convert to fraction form
    6,449.24/9,666.79 = 3,329.48/x
  3. Step 3: Cross multiply
    6,449.24x = 9,666.79 × 3,329.48
  4. Step 4: Simplify right side
    6,449.24x = 32,185,399.81
  5. Step 5: Solve for x
    x = 32,185,399.81/6,449.24
  6. Step 6: Final answer
    x = 4,990.57

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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.