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Finding the Fourth Proportional to 9,791.09, 13,511.71 and 5,314.84

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Solution

The fourth proportional to 9,791.09, 13,511.71 and 5,314.84 is: 7,334.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.09 : 13,511.71 = 5,314.84 : x
  2. Step 2: Convert to fraction form
    9,791.09/13,511.71 = 5,314.84/x
  3. Step 3: Cross multiply
    9,791.09x = 13,511.71 × 5,314.84
  4. Step 4: Simplify right side
    9,791.09x = 71,812,587.64
  5. Step 5: Solve for x
    x = 71,812,587.64/9,791.09
  6. Step 6: Final answer
    x = 7,334.48

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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.