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Finding the Fourth Proportional to 6,678.16, 9,214.86 and 3,806.89

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Solution

The fourth proportional to 6,678.16, 9,214.86 and 3,806.89 is: 5,252.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.16 : 9,214.86 = 3,806.89 : x
  2. Step 2: Convert to fraction form
    6,678.16/9,214.86 = 3,806.89/x
  3. Step 3: Cross multiply
    6,678.16x = 9,214.86 × 3,806.89
  4. Step 4: Simplify right side
    6,678.16x = 35,079,958.39
  5. Step 5: Solve for x
    x = 35,079,958.39/6,678.16
  6. Step 6: Final answer
    x = 5,252.94

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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.