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Finding the Fourth Proportional to 9,021.88, 13,529.58 and 3,826

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Solution

The fourth proportional to 9,021.88, 13,529.58 and 3,826 is: 5,737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.88 : 13,529.58 = 3,826 : x
  2. Step 2: Convert to fraction form
    9,021.88/13,529.58 = 3,826/x
  3. Step 3: Cross multiply
    9,021.88x = 13,529.58 × 3,826
  4. Step 4: Simplify right side
    9,021.88x = 51,764,173.08
  5. Step 5: Solve for x
    x = 51,764,173.08/9,021.88
  6. Step 6: Final answer
    x = 5,737.63

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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.