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Finding the Fourth Proportional to 9,486.86, 14,224.19 and 3,944.03

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Solution

The fourth proportional to 9,486.86, 14,224.19 and 3,944.03 is: 5,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.86 : 14,224.19 = 3,944.03 : x
  2. Step 2: Convert to fraction form
    9,486.86/14,224.19 = 3,944.03/x
  3. Step 3: Cross multiply
    9,486.86x = 14,224.19 × 3,944.03
  4. Step 4: Simplify right side
    9,486.86x = 56,100,541.24
  5. Step 5: Solve for x
    x = 56,100,541.24/9,486.86
  6. Step 6: Final answer
    x = 5,913.50

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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.