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Finding the Fourth Proportional to 6,678.30, 9,215.03 and 3,694.16

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Solution

The fourth proportional to 6,678.30, 9,215.03 and 3,694.16 is: 5,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.30 : 9,215.03 = 3,694.16 : x
  2. Step 2: Convert to fraction form
    6,678.30/9,215.03 = 3,694.16/x
  3. Step 3: Cross multiply
    6,678.30x = 9,215.03 × 3,694.16
  4. Step 4: Simplify right side
    6,678.30x = 34,041,775.66
  5. Step 5: Solve for x
    x = 34,041,775.66/6,678.30
  6. Step 6: Final answer
    x = 5,097.37

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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.