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Finding the Fourth Proportional to 6,338.81, 9,501.84 and 2,643.09

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Solution

The fourth proportional to 6,338.81, 9,501.84 and 2,643.09 is: 3,961.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.81 : 9,501.84 = 2,643.09 : x
  2. Step 2: Convert to fraction form
    6,338.81/9,501.84 = 2,643.09/x
  3. Step 3: Cross multiply
    6,338.81x = 9,501.84 × 2,643.09
  4. Step 4: Simplify right side
    6,338.81x = 25,114,182.65
  5. Step 5: Solve for x
    x = 25,114,182.65/6,338.81
  6. Step 6: Final answer
    x = 3,961.97

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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.