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Finding the Fourth Proportional to 6,407.20, 9,589.20 and 5,629.60

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Solution

The fourth proportional to 6,407.20, 9,589.20 and 5,629.60 is: 8,425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.20 : 9,589.20 = 5,629.60 : x
  2. Step 2: Convert to fraction form
    6,407.20/9,589.20 = 5,629.60/x
  3. Step 3: Cross multiply
    6,407.20x = 9,589.20 × 5,629.60
  4. Step 4: Simplify right side
    6,407.20x = 53,983,360.32
  5. Step 5: Solve for x
    x = 53,983,360.32/6,407.20
  6. Step 6: Final answer
    x = 8,425.42

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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.