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Finding the Fourth Proportional to 9,837.66, 14,759.74 and 3,992.70

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Solution

The fourth proportional to 9,837.66, 14,759.74 and 3,992.70 is: 5,990.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.66 : 14,759.74 = 3,992.70 : x
  2. Step 2: Convert to fraction form
    9,837.66/14,759.74 = 3,992.70/x
  3. Step 3: Cross multiply
    9,837.66x = 14,759.74 × 3,992.70
  4. Step 4: Simplify right side
    9,837.66x = 58,931,213.90
  5. Step 5: Solve for x
    x = 58,931,213.90/9,837.66
  6. Step 6: Final answer
    x = 5,990.37

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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.