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Finding the Fourth Proportional to 9,198.16, 12,696.45 and 6,212.90

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Solution

The fourth proportional to 9,198.16, 12,696.45 and 6,212.90 is: 8,575.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.16 : 12,696.45 = 6,212.90 : x
  2. Step 2: Convert to fraction form
    9,198.16/12,696.45 = 6,212.90/x
  3. Step 3: Cross multiply
    9,198.16x = 12,696.45 × 6,212.90
  4. Step 4: Simplify right side
    9,198.16x = 78,881,782.65
  5. Step 5: Solve for x
    x = 78,881,782.65/9,198.16
  6. Step 6: Final answer
    x = 8,575.82

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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.