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Finding the Fourth Proportional to 9,861.38, 13,608.20 and 5,384.27

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Solution

The fourth proportional to 9,861.38, 13,608.20 and 5,384.27 is: 7,430.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.38 : 13,608.20 = 5,384.27 : x
  2. Step 2: Convert to fraction form
    9,861.38/13,608.20 = 5,384.27/x
  3. Step 3: Cross multiply
    9,861.38x = 13,608.20 × 5,384.27
  4. Step 4: Simplify right side
    9,861.38x = 73,270,270.50
  5. Step 5: Solve for x
    x = 73,270,270.50/9,861.38
  6. Step 6: Final answer
    x = 7,430.02

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Why These Related Problems?

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