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Finding the Fourth Proportional to 9,823.12, 14,737.34 and 3,983.80

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Solution

The fourth proportional to 9,823.12, 14,737.34 and 3,983.80 is: 5,976.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.12 : 14,737.34 = 3,983.80 : x
  2. Step 2: Convert to fraction form
    9,823.12/14,737.34 = 3,983.80/x
  3. Step 3: Cross multiply
    9,823.12x = 14,737.34 × 3,983.80
  4. Step 4: Simplify right side
    9,823.12x = 58,710,615.09
  5. Step 5: Solve for x
    x = 58,710,615.09/9,823.12
  6. Step 6: Final answer
    x = 5,976.78

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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.