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Finding the Fourth Proportional to 9,826.99, 13,562.33 and 6,049.40

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Solution

The fourth proportional to 9,826.99, 13,562.33 and 6,049.40 is: 8,348.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.99 : 13,562.33 = 6,049.40 : x
  2. Step 2: Convert to fraction form
    9,826.99/13,562.33 = 6,049.40/x
  3. Step 3: Cross multiply
    9,826.99x = 13,562.33 × 6,049.40
  4. Step 4: Simplify right side
    9,826.99x = 82,043,861.04
  5. Step 5: Solve for x
    x = 82,043,861.04/9,826.99
  6. Step 6: Final answer
    x = 8,348.83

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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.