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Finding the Fourth Proportional to 6,718.50, 9,273.96 and 3,924

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Solution

The fourth proportional to 6,718.50, 9,273.96 and 3,924 is: 5,416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.50 : 9,273.96 = 3,924 : x
  2. Step 2: Convert to fraction form
    6,718.50/9,273.96 = 3,924/x
  3. Step 3: Cross multiply
    6,718.50x = 9,273.96 × 3,924
  4. Step 4: Simplify right side
    6,718.50x = 36,391,019.04
  5. Step 5: Solve for x
    x = 36,391,019.04/6,718.50
  6. Step 6: Final answer
    x = 5,416.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.