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Finding the Fourth Proportional to 6,845.27, 9,441.77 and 4,194

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Solution

The fourth proportional to 6,845.27, 9,441.77 and 4,194 is: 5,784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.27 : 9,441.77 = 4,194 : x
  2. Step 2: Convert to fraction form
    6,845.27/9,441.77 = 4,194/x
  3. Step 3: Cross multiply
    6,845.27x = 9,441.77 × 4,194
  4. Step 4: Simplify right side
    6,845.27x = 39,598,762.41
  5. Step 5: Solve for x
    x = 39,598,762.41/6,845.27
  6. Step 6: Final answer
    x = 5,784.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.