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Finding the Fourth Proportional to 9,600.24, 13,243.05 and 6,020.40

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Solution

The fourth proportional to 9,600.24, 13,243.05 and 6,020.40 is: 8,304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.24 : 13,243.05 = 6,020.40 : x
  2. Step 2: Convert to fraction form
    9,600.24/13,243.05 = 6,020.40/x
  3. Step 3: Cross multiply
    9,600.24x = 13,243.05 × 6,020.40
  4. Step 4: Simplify right side
    9,600.24x = 79,728,458.22
  5. Step 5: Solve for x
    x = 79,728,458.22/9,600.24
  6. Step 6: Final answer
    x = 8,304.84

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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.