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Finding the Fourth Proportional to 6,927, 9,559.44 and 3,783.48

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Solution

The fourth proportional to 6,927, 9,559.44 and 3,783.48 is: 5,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,927 : 9,559.44 = 3,783.48 : x
  2. Step 2: Convert to fraction form
    6,927/9,559.44 = 3,783.48/x
  3. Step 3: Cross multiply
    6,927x = 9,559.44 × 3,783.48
  4. Step 4: Simplify right side
    6,927x = 36,167,950.05
  5. Step 5: Solve for x
    x = 36,167,950.05/6,927
  6. Step 6: Final answer
    x = 5,221.30

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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.