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Finding the Fourth Proportional to 6,450.82, 9,657.98 and 4,104.94

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Solution

The fourth proportional to 6,450.82, 9,657.98 and 4,104.94 is: 6,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.82 : 9,657.98 = 4,104.94 : x
  2. Step 2: Convert to fraction form
    6,450.82/9,657.98 = 4,104.94/x
  3. Step 3: Cross multiply
    6,450.82x = 9,657.98 × 4,104.94
  4. Step 4: Simplify right side
    6,450.82x = 39,645,428.42
  5. Step 5: Solve for x
    x = 39,645,428.42/6,450.82
  6. Step 6: Final answer
    x = 6,145.80

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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.