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Finding the Fourth Proportional to 6,928.23, 9,561 and 3,784.43

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Solution

The fourth proportional to 6,928.23, 9,561 and 3,784.43 is: 5,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928.23 : 9,561 = 3,784.43 : x
  2. Step 2: Convert to fraction form
    6,928.23/9,561 = 3,784.43/x
  3. Step 3: Cross multiply
    6,928.23x = 9,561 × 3,784.43
  4. Step 4: Simplify right side
    6,928.23x = 36,182,887.43
  5. Step 5: Solve for x
    x = 36,182,887.43/6,928.23
  6. Step 6: Final answer
    x = 5,222.53

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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.