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Finding the Fourth Proportional to 6,512.32, 9,765.44 and 3,224.13

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Solution

The fourth proportional to 6,512.32, 9,765.44 and 3,224.13 is: 4,834.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.32 : 9,765.44 = 3,224.13 : x
  2. Step 2: Convert to fraction form
    6,512.32/9,765.44 = 3,224.13/x
  3. Step 3: Cross multiply
    6,512.32x = 9,765.44 × 3,224.13
  4. Step 4: Simplify right side
    6,512.32x = 31,485,048.07
  5. Step 5: Solve for x
    x = 31,485,048.07/6,512.32
  6. Step 6: Final answer
    x = 4,834.69

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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.