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Finding the Fourth Proportional to 7,214.78, 9,956.66 and 4,189.68

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Solution

The fourth proportional to 7,214.78, 9,956.66 and 4,189.68 is: 5,781.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.78 : 9,956.66 = 4,189.68 : x
  2. Step 2: Convert to fraction form
    7,214.78/9,956.66 = 4,189.68/x
  3. Step 3: Cross multiply
    7,214.78x = 9,956.66 × 4,189.68
  4. Step 4: Simplify right side
    7,214.78x = 41,715,198.32
  5. Step 5: Solve for x
    x = 41,715,198.32/7,214.78
  6. Step 6: Final answer
    x = 5,781.91

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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.