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Finding the Fourth Proportional to 9,286.75, 12,816.42 and 5,308.03

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Solution

The fourth proportional to 9,286.75, 12,816.42 and 5,308.03 is: 7,325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.75 : 12,816.42 = 5,308.03 : x
  2. Step 2: Convert to fraction form
    9,286.75/12,816.42 = 5,308.03/x
  3. Step 3: Cross multiply
    9,286.75x = 12,816.42 × 5,308.03
  4. Step 4: Simplify right side
    9,286.75x = 68,029,941.85
  5. Step 5: Solve for x
    x = 68,029,941.85/9,286.75
  6. Step 6: Final answer
    x = 7,325.48

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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.