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Finding the Fourth Proportional to 9,800.27, 13,524.39 and 5,324.03

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Solution

The fourth proportional to 9,800.27, 13,524.39 and 5,324.03 is: 7,347.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.27 : 13,524.39 = 5,324.03 : x
  2. Step 2: Convert to fraction form
    9,800.27/13,524.39 = 5,324.03/x
  3. Step 3: Cross multiply
    9,800.27x = 13,524.39 × 5,324.03
  4. Step 4: Simplify right side
    9,800.27x = 72,004,258.09
  5. Step 5: Solve for x
    x = 72,004,258.09/9,800.27
  6. Step 6: Final answer
    x = 7,347.17

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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.