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Finding the Fourth Proportional to 6,429.36, 9,643.62 and 2,049.96

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Solution

The fourth proportional to 6,429.36, 9,643.62 and 2,049.96 is: 3,074.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.36 : 9,643.62 = 2,049.96 : x
  2. Step 2: Convert to fraction form
    6,429.36/9,643.62 = 2,049.96/x
  3. Step 3: Cross multiply
    6,429.36x = 9,643.62 × 2,049.96
  4. Step 4: Simplify right side
    6,429.36x = 19,769,035.26
  5. Step 5: Solve for x
    x = 19,769,035.26/6,429.36
  6. Step 6: Final answer
    x = 3,074.81

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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.