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Finding the Fourth Proportional to 7,003.91, 9,665.27 and 3,817.23

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Solution

The fourth proportional to 7,003.91, 9,665.27 and 3,817.23 is: 5,267.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.91 : 9,665.27 = 3,817.23 : x
  2. Step 2: Convert to fraction form
    7,003.91/9,665.27 = 3,817.23/x
  3. Step 3: Cross multiply
    7,003.91x = 9,665.27 × 3,817.23
  4. Step 4: Simplify right side
    7,003.91x = 36,894,558.60
  5. Step 5: Solve for x
    x = 36,894,558.60/7,003.91
  6. Step 6: Final answer
    x = 5,267.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.