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Finding the Fourth Proportional to 9,539.92, 14,313.48 and 3,997

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Solution

The fourth proportional to 9,539.92, 14,313.48 and 3,997 is: 5,997.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.92 : 14,313.48 = 3,997 : x
  2. Step 2: Convert to fraction form
    9,539.92/14,313.48 = 3,997/x
  3. Step 3: Cross multiply
    9,539.92x = 14,313.48 × 3,997
  4. Step 4: Simplify right side
    9,539.92x = 57,210,979.56
  5. Step 5: Solve for x
    x = 57,210,979.56/9,539.92
  6. Step 6: Final answer
    x = 5,997.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.