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Finding the Fourth Proportional to 9,286.26, 13,922.09 and 6,355.68

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Solution

The fourth proportional to 9,286.26, 13,922.09 and 6,355.68 is: 9,528.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.26 : 13,922.09 = 6,355.68 : x
  2. Step 2: Convert to fraction form
    9,286.26/13,922.09 = 6,355.68/x
  3. Step 3: Cross multiply
    9,286.26x = 13,922.09 × 6,355.68
  4. Step 4: Simplify right side
    9,286.26x = 88,484,364.86
  5. Step 5: Solve for x
    x = 88,484,364.86/9,286.26
  6. Step 6: Final answer
    x = 9,528.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.