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Finding the Fourth Proportional to 9,131.09, 13,630.58 and 8,023.92

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Solution

The fourth proportional to 9,131.09, 13,630.58 and 8,023.92 is: 11,977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.09 : 13,630.58 = 8,023.92 : x
  2. Step 2: Convert to fraction form
    9,131.09/13,630.58 = 8,023.92/x
  3. Step 3: Cross multiply
    9,131.09x = 13,630.58 × 8,023.92
  4. Step 4: Simplify right side
    9,131.09x = 109,370,643.35
  5. Step 5: Solve for x
    x = 109,370,643.35/9,131.09
  6. Step 6: Final answer
    x = 11,977.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.