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Finding the Fourth Proportional to 9,623.22, 14,431.41 and 5,914.28

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Solution

The fourth proportional to 9,623.22, 14,431.41 and 5,914.28 is: 8,869.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.22 : 14,431.41 = 5,914.28 : x
  2. Step 2: Convert to fraction form
    9,623.22/14,431.41 = 5,914.28/x
  3. Step 3: Cross multiply
    9,623.22x = 14,431.41 × 5,914.28
  4. Step 4: Simplify right side
    9,623.22x = 85,351,327.38
  5. Step 5: Solve for x
    x = 85,351,327.38/9,623.22
  6. Step 6: Final answer
    x = 8,869.31

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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.