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Finding the Fourth Proportional to 9,082.80, 13,628.25 and 4,406.40

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Solution

The fourth proportional to 9,082.80, 13,628.25 and 4,406.40 is: 6,611.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.80 : 13,628.25 = 4,406.40 : x
  2. Step 2: Convert to fraction form
    9,082.80/13,628.25 = 4,406.40/x
  3. Step 3: Cross multiply
    9,082.80x = 13,628.25 × 4,406.40
  4. Step 4: Simplify right side
    9,082.80x = 60,051,520.80
  5. Step 5: Solve for x
    x = 60,051,520.80/9,082.80
  6. Step 6: Final answer
    x = 6,611.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.