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Finding the Fourth Proportional to 9,131.64, 13,687.10 and 3,863.37

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Solution

The fourth proportional to 9,131.64, 13,687.10 and 3,863.37 is: 5,790.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.64 : 13,687.10 = 3,863.37 : x
  2. Step 2: Convert to fraction form
    9,131.64/13,687.10 = 3,863.37/x
  3. Step 3: Cross multiply
    9,131.64x = 13,687.10 × 3,863.37
  4. Step 4: Simplify right side
    9,131.64x = 52,878,260.88
  5. Step 5: Solve for x
    x = 52,878,260.88/9,131.64
  6. Step 6: Final answer
    x = 5,790.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.