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Finding the Fourth Proportional to 9,825.39, 14,738.18 and 3,980.63

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Solution

The fourth proportional to 9,825.39, 14,738.18 and 3,980.63 is: 5,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.39 : 14,738.18 = 3,980.63 : x
  2. Step 2: Convert to fraction form
    9,825.39/14,738.18 = 3,980.63/x
  3. Step 3: Cross multiply
    9,825.39x = 14,738.18 × 3,980.63
  4. Step 4: Simplify right side
    9,825.39x = 58,667,147.86
  5. Step 5: Solve for x
    x = 58,667,147.86/9,825.39
  6. Step 6: Final answer
    x = 5,970.97

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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.