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Finding the Fourth Proportional to 9,250.50, 12,765.69 and 5,944.26

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Solution

The fourth proportional to 9,250.50, 12,765.69 and 5,944.26 is: 8,203.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.50 : 12,765.69 = 5,944.26 : x
  2. Step 2: Convert to fraction form
    9,250.50/12,765.69 = 5,944.26/x
  3. Step 3: Cross multiply
    9,250.50x = 12,765.69 × 5,944.26
  4. Step 4: Simplify right side
    9,250.50x = 75,882,580.44
  5. Step 5: Solve for x
    x = 75,882,580.44/9,250.50
  6. Step 6: Final answer
    x = 8,203.08

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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.