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Finding the Fourth Proportional to 6,747.46, 9,308.01 and 4,020.64

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Solution

The fourth proportional to 6,747.46, 9,308.01 and 4,020.64 is: 5,546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747.46 : 9,308.01 = 4,020.64 : x
  2. Step 2: Convert to fraction form
    6,747.46/9,308.01 = 4,020.64/x
  3. Step 3: Cross multiply
    6,747.46x = 9,308.01 × 4,020.64
  4. Step 4: Simplify right side
    6,747.46x = 37,424,157.33
  5. Step 5: Solve for x
    x = 37,424,157.33/6,747.46
  6. Step 6: Final answer
    x = 5,546.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.