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Finding the Fourth Proportional to 6,450.80, 9,677.86 and 2,068.29

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Solution

The fourth proportional to 6,450.80, 9,677.86 and 2,068.29 is: 3,102.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.80 : 9,677.86 = 2,068.29 : x
  2. Step 2: Convert to fraction form
    6,450.80/9,677.86 = 2,068.29/x
  3. Step 3: Cross multiply
    6,450.80x = 9,677.86 × 2,068.29
  4. Step 4: Simplify right side
    6,450.80x = 20,016,615.89
  5. Step 5: Solve for x
    x = 20,016,615.89/6,450.80
  6. Step 6: Final answer
    x = 3,102.97

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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.