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Finding the Fourth Proportional to 6,365.42, 9,496.45 and 6,020.97

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Solution

The fourth proportional to 6,365.42, 9,496.45 and 6,020.97 is: 8,982.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.42 : 9,496.45 = 6,020.97 : x
  2. Step 2: Convert to fraction form
    6,365.42/9,496.45 = 6,020.97/x
  3. Step 3: Cross multiply
    6,365.42x = 9,496.45 × 6,020.97
  4. Step 4: Simplify right side
    6,365.42x = 57,177,840.56
  5. Step 5: Solve for x
    x = 57,177,840.56/6,365.42
  6. Step 6: Final answer
    x = 8,982.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.