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Finding the Fourth Proportional to 9,791.93, 13,513.16 and 5,315.97

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Solution

The fourth proportional to 9,791.93, 13,513.16 and 5,315.97 is: 7,336.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.93 : 13,513.16 = 5,315.97 : x
  2. Step 2: Convert to fraction form
    9,791.93/13,513.16 = 5,315.97/x
  3. Step 3: Cross multiply
    9,791.93x = 13,513.16 × 5,315.97
  4. Step 4: Simplify right side
    9,791.93x = 71,835,526.59
  5. Step 5: Solve for x
    x = 71,835,526.59/9,791.93
  6. Step 6: Final answer
    x = 7,336.20

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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.