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Finding the Fourth Proportional to 9,161.58, 12,653.37 and 6,172.23

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Solution

The fourth proportional to 9,161.58, 12,653.37 and 6,172.23 is: 8,524.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.58 : 12,653.37 = 6,172.23 : x
  2. Step 2: Convert to fraction form
    9,161.58/12,653.37 = 6,172.23/x
  3. Step 3: Cross multiply
    9,161.58x = 12,653.37 × 6,172.23
  4. Step 4: Simplify right side
    9,161.58x = 78,099,509.92
  5. Step 5: Solve for x
    x = 78,099,509.92/9,161.58
  6. Step 6: Final answer
    x = 8,524.68

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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.