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Finding the Fourth Proportional to 9,791.82, 13,490.55 and 9,325.26

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Solution

The fourth proportional to 9,791.82, 13,490.55 and 9,325.26 is: 12,847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.82 : 13,490.55 = 9,325.26 : x
  2. Step 2: Convert to fraction form
    9,791.82/13,490.55 = 9,325.26/x
  3. Step 3: Cross multiply
    9,791.82x = 13,490.55 × 9,325.26
  4. Step 4: Simplify right side
    9,791.82x = 125,802,886.29
  5. Step 5: Solve for x
    x = 125,802,886.29/9,791.82
  6. Step 6: Final answer
    x = 12,847.75

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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.