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Finding the Fourth Proportional to 9,707.75, 14,564.69 and 3,467.61

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Solution

The fourth proportional to 9,707.75, 14,564.69 and 3,467.61 is: 5,202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.75 : 14,564.69 = 3,467.61 : x
  2. Step 2: Convert to fraction form
    9,707.75/14,564.69 = 3,467.61/x
  3. Step 3: Cross multiply
    9,707.75x = 14,564.69 × 3,467.61
  4. Step 4: Simplify right side
    9,707.75x = 50,504,647.35
  5. Step 5: Solve for x
    x = 50,504,647.35/9,707.75
  6. Step 6: Final answer
    x = 5,202.51

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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.