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Finding the Fourth Proportional to 6,399.60, 9,613.80 and 6,226.80

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Solution

The fourth proportional to 6,399.60, 9,613.80 and 6,226.80 is: 9,354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.60 : 9,613.80 = 6,226.80 : x
  2. Step 2: Convert to fraction form
    6,399.60/9,613.80 = 6,226.80/x
  3. Step 3: Cross multiply
    6,399.60x = 9,613.80 × 6,226.80
  4. Step 4: Simplify right side
    6,399.60x = 59,863,209.84
  5. Step 5: Solve for x
    x = 59,863,209.84/6,399.60
  6. Step 6: Final answer
    x = 9,354.21

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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.