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Finding the Fourth Proportional to 7,214.75, 9,956.39 and 3,902.75

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Solution

The fourth proportional to 7,214.75, 9,956.39 and 3,902.75 is: 5,385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.75 : 9,956.39 = 3,902.75 : x
  2. Step 2: Convert to fraction form
    7,214.75/9,956.39 = 3,902.75/x
  3. Step 3: Cross multiply
    7,214.75x = 9,956.39 × 3,902.75
  4. Step 4: Simplify right side
    7,214.75x = 38,857,301.07
  5. Step 5: Solve for x
    x = 38,857,301.07/7,214.75
  6. Step 6: Final answer
    x = 5,385.81

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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.