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Finding the Fourth Proportional to 9,857.63, 14,786.37 and 2,462.04

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Solution

The fourth proportional to 9,857.63, 14,786.37 and 2,462.04 is: 3,693.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.63 : 14,786.37 = 2,462.04 : x
  2. Step 2: Convert to fraction form
    9,857.63/14,786.37 = 2,462.04/x
  3. Step 3: Cross multiply
    9,857.63x = 14,786.37 × 2,462.04
  4. Step 4: Simplify right side
    9,857.63x = 36,404,634.39
  5. Step 5: Solve for x
    x = 36,404,634.39/9,857.63
  6. Step 6: Final answer
    x = 3,693.04

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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.