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Finding the Fourth Proportional to 6,927.54, 9,559.94 and 3,783.66

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Solution

The fourth proportional to 6,927.54, 9,559.94 and 3,783.66 is: 5,221.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,927.54 : 9,559.94 = 3,783.66 : x
  2. Step 2: Convert to fraction form
    6,927.54/9,559.94 = 3,783.66/x
  3. Step 3: Cross multiply
    6,927.54x = 9,559.94 × 3,783.66
  4. Step 4: Simplify right side
    6,927.54x = 36,171,529.10
  5. Step 5: Solve for x
    x = 36,171,529.10/6,927.54
  6. Step 6: Final answer
    x = 5,221.41

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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.