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Finding the Fourth Proportional to 9,275.22, 13,913.42 and 3,033.54

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Solution

The fourth proportional to 9,275.22, 13,913.42 and 3,033.54 is: 4,550.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.22 : 13,913.42 = 3,033.54 : x
  2. Step 2: Convert to fraction form
    9,275.22/13,913.42 = 3,033.54/x
  3. Step 3: Cross multiply
    9,275.22x = 13,913.42 × 3,033.54
  4. Step 4: Simplify right side
    9,275.22x = 42,206,900.94
  5. Step 5: Solve for x
    x = 42,206,900.94/9,275.22
  6. Step 6: Final answer
    x = 4,550.50

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Why These Related Problems?

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