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Finding the Fourth Proportional to 6,330.82, 9,477.78 and 3,690.25

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Solution

The fourth proportional to 6,330.82, 9,477.78 and 3,690.25 is: 5,524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330.82 : 9,477.78 = 3,690.25 : x
  2. Step 2: Convert to fraction form
    6,330.82/9,477.78 = 3,690.25/x
  3. Step 3: Cross multiply
    6,330.82x = 9,477.78 × 3,690.25
  4. Step 4: Simplify right side
    6,330.82x = 34,975,377.65
  5. Step 5: Solve for x
    x = 34,975,377.65/6,330.82
  6. Step 6: Final answer
    x = 5,524.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.