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Finding the Fourth Proportional to 6,678.63, 9,216.56 and 3,694.67

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Solution

The fourth proportional to 6,678.63, 9,216.56 and 3,694.67 is: 5,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.63 : 9,216.56 = 3,694.67 : x
  2. Step 2: Convert to fraction form
    6,678.63/9,216.56 = 3,694.67/x
  3. Step 3: Cross multiply
    6,678.63x = 9,216.56 × 3,694.67
  4. Step 4: Simplify right side
    6,678.63x = 34,052,083.18
  5. Step 5: Solve for x
    x = 34,052,083.18/6,678.63
  6. Step 6: Final answer
    x = 5,098.66

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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.