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Finding the Fourth Proportional to 9,501.96, 14,241.25 and 5,333.22

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Solution

The fourth proportional to 9,501.96, 14,241.25 and 5,333.22 is: 7,993.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501.96 : 14,241.25 = 5,333.22 : x
  2. Step 2: Convert to fraction form
    9,501.96/14,241.25 = 5,333.22/x
  3. Step 3: Cross multiply
    9,501.96x = 14,241.25 × 5,333.22
  4. Step 4: Simplify right side
    9,501.96x = 75,951,719.33
  5. Step 5: Solve for x
    x = 75,951,719.33/9,501.96
  6. Step 6: Final answer
    x = 7,993.27

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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.