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Finding the Fourth Proportional to 9,825.52, 14,739.90 and 3,986.14

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Solution

The fourth proportional to 9,825.52, 14,739.90 and 3,986.14 is: 5,979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.52 : 14,739.90 = 3,986.14 : x
  2. Step 2: Convert to fraction form
    9,825.52/14,739.90 = 3,986.14/x
  3. Step 3: Cross multiply
    9,825.52x = 14,739.90 × 3,986.14
  4. Step 4: Simplify right side
    9,825.52x = 58,755,304.99
  5. Step 5: Solve for x
    x = 58,755,304.99/9,825.52
  6. Step 6: Final answer
    x = 5,979.87

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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.