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Finding the Fourth Proportional to 9,400.08, 14,093.10 and 7,836.78

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Solution

The fourth proportional to 9,400.08, 14,093.10 and 7,836.78 is: 11,749.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.08 : 14,093.10 = 7,836.78 : x
  2. Step 2: Convert to fraction form
    9,400.08/14,093.10 = 7,836.78/x
  3. Step 3: Cross multiply
    9,400.08x = 14,093.10 × 7,836.78
  4. Step 4: Simplify right side
    9,400.08x = 110,444,524.22
  5. Step 5: Solve for x
    x = 110,444,524.22/9,400.08
  6. Step 6: Final answer
    x = 11,749.32

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