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Finding the Fourth Proportional to 6,389.89, 8,814.46 and 3,837

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Solution

The fourth proportional to 6,389.89, 8,814.46 and 3,837 is: 5,292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.89 : 8,814.46 = 3,837 : x
  2. Step 2: Convert to fraction form
    6,389.89/8,814.46 = 3,837/x
  3. Step 3: Cross multiply
    6,389.89x = 8,814.46 × 3,837
  4. Step 4: Simplify right side
    6,389.89x = 33,821,083.02
  5. Step 5: Solve for x
    x = 33,821,083.02/6,389.89
  6. Step 6: Final answer
    x = 5,292.91

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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.