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Finding the Fourth Proportional to 9,628.22, 13,288.68 and 6,229.41

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Solution

The fourth proportional to 9,628.22, 13,288.68 and 6,229.41 is: 8,597.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.22 : 13,288.68 = 6,229.41 : x
  2. Step 2: Convert to fraction form
    9,628.22/13,288.68 = 6,229.41/x
  3. Step 3: Cross multiply
    9,628.22x = 13,288.68 × 6,229.41
  4. Step 4: Simplify right side
    9,628.22x = 82,780,603.77
  5. Step 5: Solve for x
    x = 82,780,603.77/9,628.22
  6. Step 6: Final answer
    x = 8,597.71

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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.