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Finding the Fourth Proportional to 9,825.35, 14,729.73 and 3,986.06

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Solution

The fourth proportional to 9,825.35, 14,729.73 and 3,986.06 is: 5,975.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.35 : 14,729.73 = 3,986.06 : x
  2. Step 2: Convert to fraction form
    9,825.35/14,729.73 = 3,986.06/x
  3. Step 3: Cross multiply
    9,825.35x = 14,729.73 × 3,986.06
  4. Step 4: Simplify right side
    9,825.35x = 58,713,513.92
  5. Step 5: Solve for x
    x = 58,713,513.92/9,825.35
  6. Step 6: Final answer
    x = 5,975.72

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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.