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Finding the Fourth Proportional to 6,274.23, 9,412.43 and 1,891.32

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Solution

The fourth proportional to 6,274.23, 9,412.43 and 1,891.32 is: 2,837.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.23 : 9,412.43 = 1,891.32 : x
  2. Step 2: Convert to fraction form
    6,274.23/9,412.43 = 1,891.32/x
  3. Step 3: Cross multiply
    6,274.23x = 9,412.43 × 1,891.32
  4. Step 4: Simplify right side
    6,274.23x = 17,801,907.65
  5. Step 5: Solve for x
    x = 17,801,907.65/6,274.23
  6. Step 6: Final answer
    x = 2,837.31

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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.