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Finding the Fourth Proportional to 7,099.26, 9,786.74 and 4,968.19

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Solution

The fourth proportional to 7,099.26, 9,786.74 and 4,968.19 is: 6,848.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.26 : 9,786.74 = 4,968.19 : x
  2. Step 2: Convert to fraction form
    7,099.26/9,786.74 = 4,968.19/x
  3. Step 3: Cross multiply
    7,099.26x = 9,786.74 × 4,968.19
  4. Step 4: Simplify right side
    7,099.26x = 48,622,344.09
  5. Step 5: Solve for x
    x = 48,622,344.09/7,099.26
  6. Step 6: Final answer
    x = 6,848.93

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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.