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Finding the Fourth Proportional to 9,608.37, 13,205.86 and 8,482.47

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Solution

The fourth proportional to 9,608.37, 13,205.86 and 8,482.47 is: 11,658.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.37 : 13,205.86 = 8,482.47 : x
  2. Step 2: Convert to fraction form
    9,608.37/13,205.86 = 8,482.47/x
  3. Step 3: Cross multiply
    9,608.37x = 13,205.86 × 8,482.47
  4. Step 4: Simplify right side
    9,608.37x = 112,018,311.27
  5. Step 5: Solve for x
    x = 112,018,311.27/9,608.37
  6. Step 6: Final answer
    x = 11,658.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.