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Finding the Fourth Proportional to 9,190.98, 12,674.73 and 6,172.92

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Solution

The fourth proportional to 9,190.98, 12,674.73 and 6,172.92 is: 8,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.98 : 12,674.73 = 6,172.92 : x
  2. Step 2: Convert to fraction form
    9,190.98/12,674.73 = 6,172.92/x
  3. Step 3: Cross multiply
    9,190.98x = 12,674.73 × 6,172.92
  4. Step 4: Simplify right side
    9,190.98x = 78,240,094.31
  5. Step 5: Solve for x
    x = 78,240,094.31/9,190.98
  6. Step 6: Final answer
    x = 8,512.70

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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.