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Finding the Fourth Proportional to 6,449.39, 9,674.08 and 4,257.60

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Solution

The fourth proportional to 6,449.39, 9,674.08 and 4,257.60 is: 6,386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.39 : 9,674.08 = 4,257.60 : x
  2. Step 2: Convert to fraction form
    6,449.39/9,674.08 = 4,257.60/x
  3. Step 3: Cross multiply
    6,449.39x = 9,674.08 × 4,257.60
  4. Step 4: Simplify right side
    6,449.39x = 41,188,421.66
  5. Step 5: Solve for x
    x = 41,188,421.66/6,449.39
  6. Step 6: Final answer
    x = 6,386.41

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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.