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Finding the Fourth Proportional to 6,262.35, 9,382.99 and 3,789.65

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Solution

The fourth proportional to 6,262.35, 9,382.99 and 3,789.65 is: 5,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.35 : 9,382.99 = 3,789.65 : x
  2. Step 2: Convert to fraction form
    6,262.35/9,382.99 = 3,789.65/x
  3. Step 3: Cross multiply
    6,262.35x = 9,382.99 × 3,789.65
  4. Step 4: Simplify right side
    6,262.35x = 35,558,248.05
  5. Step 5: Solve for x
    x = 35,558,248.05/6,262.35
  6. Step 6: Final answer
    x = 5,678.10

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Why These Related Problems?

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