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Finding the Fourth Proportional to 9,077.13, 13,625.24 and 8,043.75

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Solution

The fourth proportional to 9,077.13, 13,625.24 and 8,043.75 is: 12,074.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.13 : 13,625.24 = 8,043.75 : x
  2. Step 2: Convert to fraction form
    9,077.13/13,625.24 = 8,043.75/x
  3. Step 3: Cross multiply
    9,077.13x = 13,625.24 × 8,043.75
  4. Step 4: Simplify right side
    9,077.13x = 109,597,984.03
  5. Step 5: Solve for x
    x = 109,597,984.03/9,077.13
  6. Step 6: Final answer
    x = 12,074.08

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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.