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Finding the Fourth Proportional to 9,198.06, 12,693.51 and 5,662.86

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Solution

The fourth proportional to 9,198.06, 12,693.51 and 5,662.86 is: 7,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.06 : 12,693.51 = 5,662.86 : x
  2. Step 2: Convert to fraction form
    9,198.06/12,693.51 = 5,662.86/x
  3. Step 3: Cross multiply
    9,198.06x = 12,693.51 × 5,662.86
  4. Step 4: Simplify right side
    9,198.06x = 71,881,570.04
  5. Step 5: Solve for x
    x = 71,881,570.04/9,198.06
  6. Step 6: Final answer
    x = 7,814.86

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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.