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Finding the Fourth Proportional to 9,485.20, 14,228.41 and 5,581.41

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Solution

The fourth proportional to 9,485.20, 14,228.41 and 5,581.41 is: 8,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.20 : 14,228.41 = 5,581.41 : x
  2. Step 2: Convert to fraction form
    9,485.20/14,228.41 = 5,581.41/x
  3. Step 3: Cross multiply
    9,485.20x = 14,228.41 × 5,581.41
  4. Step 4: Simplify right side
    9,485.20x = 79,414,533.01
  5. Step 5: Solve for x
    x = 79,414,533.01/9,485.20
  6. Step 6: Final answer
    x = 8,372.47

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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.