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Finding the Fourth Proportional to 9,161.37, 12,653.01 and 6,189.48

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Solution

The fourth proportional to 9,161.37, 12,653.01 and 6,189.48 is: 8,548.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.37 : 12,653.01 = 6,189.48 : x
  2. Step 2: Convert to fraction form
    9,161.37/12,653.01 = 6,189.48/x
  3. Step 3: Cross multiply
    9,161.37x = 12,653.01 × 6,189.48
  4. Step 4: Simplify right side
    9,161.37x = 78,315,552.33
  5. Step 5: Solve for x
    x = 78,315,552.33/9,161.37
  6. Step 6: Final answer
    x = 8,548.45

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