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Finding the Fourth Proportional to 6,451.44, 9,677.76 and 2,068.93

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Solution

The fourth proportional to 6,451.44, 9,677.76 and 2,068.93 is: 3,103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.44 : 9,677.76 = 2,068.93 : x
  2. Step 2: Convert to fraction form
    6,451.44/9,677.76 = 2,068.93/x
  3. Step 3: Cross multiply
    6,451.44x = 9,677.76 × 2,068.93
  4. Step 4: Simplify right side
    6,451.44x = 20,022,608.00
  5. Step 5: Solve for x
    x = 20,022,608.00/6,451.44
  6. Step 6: Final answer
    x = 3,103.59

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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.