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Finding the Fourth Proportional to 6,817.16, 9,406.33 and 3,832.92

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Solution

The fourth proportional to 6,817.16, 9,406.33 and 3,832.92 is: 5,288.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.16 : 9,406.33 = 3,832.92 : x
  2. Step 2: Convert to fraction form
    6,817.16/9,406.33 = 3,832.92/x
  3. Step 3: Cross multiply
    6,817.16x = 9,406.33 × 3,832.92
  4. Step 4: Simplify right side
    6,817.16x = 36,053,700.80
  5. Step 5: Solve for x
    x = 36,053,700.80/6,817.16
  6. Step 6: Final answer
    x = 5,288.67

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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.