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Finding the Fourth Proportional to 6,450.41, 9,675.59 and 4,258.61

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Solution

The fourth proportional to 6,450.41, 9,675.59 and 4,258.61 is: 6,387.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.41 : 9,675.59 = 4,258.61 : x
  2. Step 2: Convert to fraction form
    6,450.41/9,675.59 = 4,258.61/x
  3. Step 3: Cross multiply
    6,450.41x = 9,675.59 × 4,258.61
  4. Step 4: Simplify right side
    6,450.41x = 41,204,494.66
  5. Step 5: Solve for x
    x = 41,204,494.66/6,450.41
  6. Step 6: Final answer
    x = 6,387.89

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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.