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Finding the Fourth Proportional to 9,861.72, 13,608.94 and 5,385.24

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Solution

The fourth proportional to 9,861.72, 13,608.94 and 5,385.24 is: 7,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.72 : 13,608.94 = 5,385.24 : x
  2. Step 2: Convert to fraction form
    9,861.72/13,608.94 = 5,385.24/x
  3. Step 3: Cross multiply
    9,861.72x = 13,608.94 × 5,385.24
  4. Step 4: Simplify right side
    9,861.72x = 73,287,408.05
  5. Step 5: Solve for x
    x = 73,287,408.05/9,861.72
  6. Step 6: Final answer
    x = 7,431.50

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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.