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Finding the Fourth Proportional to 9,791.08, 13,507.30 and 5,809.96

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Solution

The fourth proportional to 9,791.08, 13,507.30 and 5,809.96 is: 8,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.08 : 13,507.30 = 5,809.96 : x
  2. Step 2: Convert to fraction form
    9,791.08/13,507.30 = 5,809.96/x
  3. Step 3: Cross multiply
    9,791.08x = 13,507.30 × 5,809.96
  4. Step 4: Simplify right side
    9,791.08x = 78,476,872.71
  5. Step 5: Solve for x
    x = 78,476,872.71/9,791.08
  6. Step 6: Final answer
    x = 8,015.14

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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.