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Finding the Fourth Proportional to 9,822.83, 14,737.88 and 3,983.54

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Solution

The fourth proportional to 9,822.83, 14,737.88 and 3,983.54 is: 5,976.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.83 : 14,737.88 = 3,983.54 : x
  2. Step 2: Convert to fraction form
    9,822.83/14,737.88 = 3,983.54/x
  3. Step 3: Cross multiply
    9,822.83x = 14,737.88 × 3,983.54
  4. Step 4: Simplify right side
    9,822.83x = 58,708,870.76
  5. Step 5: Solve for x
    x = 58,708,870.76/9,822.83
  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.