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Finding the Fourth Proportional to 6,366.42, 9,551.22 and 1,983.90

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Solution

The fourth proportional to 6,366.42, 9,551.22 and 1,983.90 is: 2,976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.42 : 9,551.22 = 1,983.90 : x
  2. Step 2: Convert to fraction form
    6,366.42/9,551.22 = 1,983.90/x
  3. Step 3: Cross multiply
    6,366.42x = 9,551.22 × 1,983.90
  4. Step 4: Simplify right side
    6,366.42x = 18,948,665.36
  5. Step 5: Solve for x
    x = 18,948,665.36/6,366.42
  6. Step 6: Final answer
    x = 2,976.35

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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.