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Finding the Fourth Proportional to 9,791.66, 13,507.73 and 5,809.95

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Solution

The fourth proportional to 9,791.66, 13,507.73 and 5,809.95 is: 8,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.66 : 13,507.73 = 5,809.95 : x
  2. Step 2: Convert to fraction form
    9,791.66/13,507.73 = 5,809.95/x
  3. Step 3: Cross multiply
    9,791.66x = 13,507.73 × 5,809.95
  4. Step 4: Simplify right side
    9,791.66x = 78,479,206.86
  5. Step 5: Solve for x
    x = 78,479,206.86/9,791.66
  6. Step 6: Final answer
    x = 8,014.91

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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.