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Finding the Fourth Proportional to 9,438.86, 14,163.72 and 5,546

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Solution

The fourth proportional to 9,438.86, 14,163.72 and 5,546 is: 8,322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.86 : 14,163.72 = 5,546 : x
  2. Step 2: Convert to fraction form
    9,438.86/14,163.72 = 5,546/x
  3. Step 3: Cross multiply
    9,438.86x = 14,163.72 × 5,546
  4. Step 4: Simplify right side
    9,438.86x = 78,551,991.12
  5. Step 5: Solve for x
    x = 78,551,991.12/9,438.86
  6. Step 6: Final answer
    x = 8,322.19

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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.