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Finding the Fourth Proportional to 9,493.68, 14,236.04 and 5,546.08

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Solution

The fourth proportional to 9,493.68, 14,236.04 and 5,546.08 is: 8,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.68 : 14,236.04 = 5,546.08 : x
  2. Step 2: Convert to fraction form
    9,493.68/14,236.04 = 5,546.08/x
  3. Step 3: Cross multiply
    9,493.68x = 14,236.04 × 5,546.08
  4. Step 4: Simplify right side
    9,493.68x = 78,954,216.72
  5. Step 5: Solve for x
    x = 78,954,216.72/9,493.68
  6. Step 6: Final answer
    x = 8,316.50

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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.