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Finding the Fourth Proportional to 6,259.34, 9,380.75 and 2,744.06

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Solution

The fourth proportional to 6,259.34, 9,380.75 and 2,744.06 is: 4,112.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.34 : 9,380.75 = 2,744.06 : x
  2. Step 2: Convert to fraction form
    6,259.34/9,380.75 = 2,744.06/x
  3. Step 3: Cross multiply
    6,259.34x = 9,380.75 × 2,744.06
  4. Step 4: Simplify right side
    6,259.34x = 25,741,280.22
  5. Step 5: Solve for x
    x = 25,741,280.22/6,259.34
  6. Step 6: Final answer
    x = 4,112.46

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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.