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Finding the Fourth Proportional to 9,403.71, 14,103.24 and 3,858.63

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Solution

The fourth proportional to 9,403.71, 14,103.24 and 3,858.63 is: 5,786.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.71 : 14,103.24 = 3,858.63 : x
  2. Step 2: Convert to fraction form
    9,403.71/14,103.24 = 3,858.63/x
  3. Step 3: Cross multiply
    9,403.71x = 14,103.24 × 3,858.63
  4. Step 4: Simplify right side
    9,403.71x = 54,419,184.96
  5. Step 5: Solve for x
    x = 54,419,184.96/9,403.71
  6. Step 6: Final answer
    x = 5,786.99

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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.