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Finding the Fourth Proportional to 6,232.40, 9,343.20 and 3,764.60

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Solution

The fourth proportional to 6,232.40, 9,343.20 and 3,764.60 is: 5,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.40 : 9,343.20 = 3,764.60 : x
  2. Step 2: Convert to fraction form
    6,232.40/9,343.20 = 3,764.60/x
  3. Step 3: Cross multiply
    6,232.40x = 9,343.20 × 3,764.60
  4. Step 4: Simplify right side
    6,232.40x = 35,173,410.72
  5. Step 5: Solve for x
    x = 35,173,410.72/6,232.40
  6. Step 6: Final answer
    x = 5,643.64

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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.