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Finding the Fourth Proportional to 6,451.26, 9,677.84 and 2,290.07

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Solution

The fourth proportional to 6,451.26, 9,677.84 and 2,290.07 is: 3,435.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.26 : 9,677.84 = 2,290.07 : x
  2. Step 2: Convert to fraction form
    6,451.26/9,677.84 = 2,290.07/x
  3. Step 3: Cross multiply
    6,451.26x = 9,677.84 × 2,290.07
  4. Step 4: Simplify right side
    6,451.26x = 22,162,871.21
  5. Step 5: Solve for x
    x = 22,162,871.21/6,451.26
  6. Step 6: Final answer
    x = 3,435.43

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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.