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Finding the Fourth Proportional to 6,452.12, 9,668.46 and 4,800.80

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Solution

The fourth proportional to 6,452.12, 9,668.46 and 4,800.80 is: 7,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.12 : 9,668.46 = 4,800.80 : x
  2. Step 2: Convert to fraction form
    6,452.12/9,668.46 = 4,800.80/x
  3. Step 3: Cross multiply
    6,452.12x = 9,668.46 × 4,800.80
  4. Step 4: Simplify right side
    6,452.12x = 46,416,342.77
  5. Step 5: Solve for x
    x = 46,416,342.77/6,452.12
  6. Step 6: Final answer
    x = 7,193.97

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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.