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Finding the Fourth Proportional to 6,928.36, 9,561.16 and 3,784.56

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Solution

The fourth proportional to 6,928.36, 9,561.16 and 3,784.56 is: 5,222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928.36 : 9,561.16 = 3,784.56 : x
  2. Step 2: Convert to fraction form
    6,928.36/9,561.16 = 3,784.56/x
  3. Step 3: Cross multiply
    6,928.36x = 9,561.16 × 3,784.56
  4. Step 4: Simplify right side
    6,928.36x = 36,184,783.69
  5. Step 5: Solve for x
    x = 36,184,783.69/6,928.36
  6. Step 6: Final answer
    x = 5,222.71

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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.