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Finding the Fourth Proportional to 9,471.83, 14,201.94 and 3,929

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Solution

The fourth proportional to 9,471.83, 14,201.94 and 3,929 is: 5,891.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.83 : 14,201.94 = 3,929 : x
  2. Step 2: Convert to fraction form
    9,471.83/14,201.94 = 3,929/x
  3. Step 3: Cross multiply
    9,471.83x = 14,201.94 × 3,929
  4. Step 4: Simplify right side
    9,471.83x = 55,799,422.26
  5. Step 5: Solve for x
    x = 55,799,422.26/9,471.83
  6. Step 6: Final answer
    x = 5,891.09

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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.