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Finding the Fourth Proportional to 6,678.56, 9,216.34 and 3,694.34

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Solution

The fourth proportional to 6,678.56, 9,216.34 and 3,694.34 is: 5,098.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.56 : 9,216.34 = 3,694.34 : x
  2. Step 2: Convert to fraction form
    6,678.56/9,216.34 = 3,694.34/x
  3. Step 3: Cross multiply
    6,678.56x = 9,216.34 × 3,694.34
  4. Step 4: Simplify right side
    6,678.56x = 34,048,307.32
  5. Step 5: Solve for x
    x = 34,048,307.32/6,678.56
  6. Step 6: Final answer
    x = 5,098.15

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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.