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Finding the Fourth Proportional to 6,366.82, 9,530.23 and 4,018.70

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Solution

The fourth proportional to 6,366.82, 9,530.23 and 4,018.70 is: 6,015.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.82 : 9,530.23 = 4,018.70 : x
  2. Step 2: Convert to fraction form
    6,366.82/9,530.23 = 4,018.70/x
  3. Step 3: Cross multiply
    6,366.82x = 9,530.23 × 4,018.70
  4. Step 4: Simplify right side
    6,366.82x = 38,299,087.65
  5. Step 5: Solve for x
    x = 38,299,087.65/6,366.82
  6. Step 6: Final answer
    x = 6,015.42

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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.