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Finding the Fourth Proportional to 6,480.16, 9,725.32 and 4,519.60

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Solution

The fourth proportional to 6,480.16, 9,725.32 and 4,519.60 is: 6,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.16 : 9,725.32 = 4,519.60 : x
  2. Step 2: Convert to fraction form
    6,480.16/9,725.32 = 4,519.60/x
  3. Step 3: Cross multiply
    6,480.16x = 9,725.32 × 4,519.60
  4. Step 4: Simplify right side
    6,480.16x = 43,954,556.27
  5. Step 5: Solve for x
    x = 43,954,556.27/6,480.16
  6. Step 6: Final answer
    x = 6,782.94

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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.