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Finding the Fourth Proportional to 6,449.93, 9,675.80 and 2,066.36

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Solution

The fourth proportional to 6,449.93, 9,675.80 and 2,066.36 is: 3,099.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.93 : 9,675.80 = 2,066.36 : x
  2. Step 2: Convert to fraction form
    6,449.93/9,675.80 = 2,066.36/x
  3. Step 3: Cross multiply
    6,449.93x = 9,675.80 × 2,066.36
  4. Step 4: Simplify right side
    6,449.93x = 19,993,701.18
  5. Step 5: Solve for x
    x = 19,993,701.18/6,449.93
  6. Step 6: Final answer
    x = 3,099.83

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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.