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Finding the Fourth Proportional to 6,287.79, 9,424.38 and 2,817.75

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Solution

The fourth proportional to 6,287.79, 9,424.38 and 2,817.75 is: 4,223.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.79 : 9,424.38 = 2,817.75 : x
  2. Step 2: Convert to fraction form
    6,287.79/9,424.38 = 2,817.75/x
  3. Step 3: Cross multiply
    6,287.79x = 9,424.38 × 2,817.75
  4. Step 4: Simplify right side
    6,287.79x = 26,555,546.75
  5. Step 5: Solve for x
    x = 26,555,546.75/6,287.79
  6. Step 6: Final answer
    x = 4,223.35

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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.