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Finding the Fourth Proportional to 6,678.29, 9,215.88 and 3,694.07

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Solution

The fourth proportional to 6,678.29, 9,215.88 and 3,694.07 is: 5,097.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.29 : 9,215.88 = 3,694.07 : x
  2. Step 2: Convert to fraction form
    6,678.29/9,215.88 = 3,694.07/x
  3. Step 3: Cross multiply
    6,678.29x = 9,215.88 × 3,694.07
  4. Step 4: Simplify right side
    6,678.29x = 34,044,059.75
  5. Step 5: Solve for x
    x = 34,044,059.75/6,678.29
  6. Step 6: Final answer
    x = 5,097.72

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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.