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Finding the Fourth Proportional to 9,520.42, 14,283.06 and 3,976.24

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Solution

The fourth proportional to 9,520.42, 14,283.06 and 3,976.24 is: 5,965.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.42 : 14,283.06 = 3,976.24 : x
  2. Step 2: Convert to fraction form
    9,520.42/14,283.06 = 3,976.24/x
  3. Step 3: Cross multiply
    9,520.42x = 14,283.06 × 3,976.24
  4. Step 4: Simplify right side
    9,520.42x = 56,792,874.49
  5. Step 5: Solve for x
    x = 56,792,874.49/9,520.42
  6. Step 6: Final answer
    x = 5,965.37

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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.