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Finding the Fourth Proportional to 9,092.37, 12,533.17 and 8,329.65

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Solution

The fourth proportional to 9,092.37, 12,533.17 and 8,329.65 is: 11,481.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.37 : 12,533.17 = 8,329.65 : x
  2. Step 2: Convert to fraction form
    9,092.37/12,533.17 = 8,329.65/x
  3. Step 3: Cross multiply
    9,092.37x = 12,533.17 × 8,329.65
  4. Step 4: Simplify right side
    9,092.37x = 104,396,815.18
  5. Step 5: Solve for x
    x = 104,396,815.18/9,092.37
  6. Step 6: Final answer
    x = 11,481.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.