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Finding the Fourth Proportional to 6,450.33, 9,675.56 and 2,290.41

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Solution

The fourth proportional to 6,450.33, 9,675.56 and 2,290.41 is: 3,435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.33 : 9,675.56 = 2,290.41 : x
  2. Step 2: Convert to fraction form
    6,450.33/9,675.56 = 2,290.41/x
  3. Step 3: Cross multiply
    6,450.33x = 9,675.56 × 2,290.41
  4. Step 4: Simplify right side
    6,450.33x = 22,160,987.93
  5. Step 5: Solve for x
    x = 22,160,987.93/6,450.33
  6. Step 6: Final answer
    x = 3,435.64

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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.