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Finding the Fourth Proportional to 9,033.52, 13,550.28 and 3,835.76

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Solution

The fourth proportional to 9,033.52, 13,550.28 and 3,835.76 is: 5,753.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,033.52 : 13,550.28 = 3,835.76 : x
  2. Step 2: Convert to fraction form
    9,033.52/13,550.28 = 3,835.76/x
  3. Step 3: Cross multiply
    9,033.52x = 13,550.28 × 3,835.76
  4. Step 4: Simplify right side
    9,033.52x = 51,975,622.01
  5. Step 5: Solve for x
    x = 51,975,622.01/9,033.52
  6. Step 6: Final answer
    x = 5,753.64

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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.