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Finding the Fourth Proportional to 6,279.54, 9,420.75 and 2,119.43

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Solution

The fourth proportional to 6,279.54, 9,420.75 and 2,119.43 is: 3,179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.54 : 9,420.75 = 2,119.43 : x
  2. Step 2: Convert to fraction form
    6,279.54/9,420.75 = 2,119.43/x
  3. Step 3: Cross multiply
    6,279.54x = 9,420.75 × 2,119.43
  4. Step 4: Simplify right side
    6,279.54x = 19,966,573.07
  5. Step 5: Solve for x
    x = 19,966,573.07/6,279.54
  6. Step 6: Final answer
    x = 3,179.62

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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.