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Finding the Fourth Proportional to 9,628.75, 13,287.68 and 5,212.75

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Solution

The fourth proportional to 9,628.75, 13,287.68 and 5,212.75 is: 7,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.75 : 13,287.68 = 5,212.75 : x
  2. Step 2: Convert to fraction form
    9,628.75/13,287.68 = 5,212.75/x
  3. Step 3: Cross multiply
    9,628.75x = 13,287.68 × 5,212.75
  4. Step 4: Simplify right side
    9,628.75x = 69,265,353.92
  5. Step 5: Solve for x
    x = 69,265,353.92/9,628.75
  6. Step 6: Final answer
    x = 7,193.60

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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.