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Finding the Fourth Proportional to 6,427.89, 9,624.08 and 3,301.16

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Solution

The fourth proportional to 6,427.89, 9,624.08 and 3,301.16 is: 4,942.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.89 : 9,624.08 = 3,301.16 : x
  2. Step 2: Convert to fraction form
    6,427.89/9,624.08 = 3,301.16/x
  3. Step 3: Cross multiply
    6,427.89x = 9,624.08 × 3,301.16
  4. Step 4: Simplify right side
    6,427.89x = 31,770,588.07
  5. Step 5: Solve for x
    x = 31,770,588.07/6,427.89
  6. Step 6: Final answer
    x = 4,942.62

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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.