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Finding the Fourth Proportional to 9,376.45, 12,933.84 and 6,189.75

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Solution

The fourth proportional to 9,376.45, 12,933.84 and 6,189.75 is: 8,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.45 : 12,933.84 = 6,189.75 : x
  2. Step 2: Convert to fraction form
    9,376.45/12,933.84 = 6,189.75/x
  3. Step 3: Cross multiply
    9,376.45x = 12,933.84 × 6,189.75
  4. Step 4: Simplify right side
    9,376.45x = 80,057,236.14
  5. Step 5: Solve for x
    x = 80,057,236.14/9,376.45
  6. Step 6: Final answer
    x = 8,538.12

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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.