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Finding the Fourth Proportional to 9,622.81, 14,433.83 and 3,384.23

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Solution

The fourth proportional to 9,622.81, 14,433.83 and 3,384.23 is: 5,076.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.81 : 14,433.83 = 3,384.23 : x
  2. Step 2: Convert to fraction form
    9,622.81/14,433.83 = 3,384.23/x
  3. Step 3: Cross multiply
    9,622.81x = 14,433.83 × 3,384.23
  4. Step 4: Simplify right side
    9,622.81x = 48,847,383.58
  5. Step 5: Solve for x
    x = 48,847,383.58/9,622.81
  6. Step 6: Final answer
    x = 5,076.21

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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.