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Finding the Fourth Proportional to 6,231.20, 9,337.20 and 5,405.60

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Solution

The fourth proportional to 6,231.20, 9,337.20 and 5,405.60 is: 8,100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.20 : 9,337.20 = 5,405.60 : x
  2. Step 2: Convert to fraction form
    6,231.20/9,337.20 = 5,405.60/x
  3. Step 3: Cross multiply
    6,231.20x = 9,337.20 × 5,405.60
  4. Step 4: Simplify right side
    6,231.20x = 50,473,168.32
  5. Step 5: Solve for x
    x = 50,473,168.32/6,231.20
  6. Step 6: Final answer
    x = 8,100.07

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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.