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Finding the Fourth Proportional to 9,190.75, 12,687.69 and 6,164.77

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Solution

The fourth proportional to 9,190.75, 12,687.69 and 6,164.77 is: 8,510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.75 : 12,687.69 = 6,164.77 : x
  2. Step 2: Convert to fraction form
    9,190.75/12,687.69 = 6,164.77/x
  3. Step 3: Cross multiply
    9,190.75x = 12,687.69 × 6,164.77
  4. Step 4: Simplify right side
    9,190.75x = 78,216,690.68
  5. Step 5: Solve for x
    x = 78,216,690.68/9,190.75
  6. Step 6: Final answer
    x = 8,510.37

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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.