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Finding the Fourth Proportional to 6,403.20, 9,604.80 and 5,722.80

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Solution

The fourth proportional to 6,403.20, 9,604.80 and 5,722.80 is: 8,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.20 : 9,604.80 = 5,722.80 : x
  2. Step 2: Convert to fraction form
    6,403.20/9,604.80 = 5,722.80/x
  3. Step 3: Cross multiply
    6,403.20x = 9,604.80 × 5,722.80
  4. Step 4: Simplify right side
    6,403.20x = 54,966,349.44
  5. Step 5: Solve for x
    x = 54,966,349.44/6,403.20
  6. Step 6: Final answer
    x = 8,584.20

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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.