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Finding the Fourth Proportional to 6,232.96, 9,357.60 and 3,313.60

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Solution

The fourth proportional to 6,232.96, 9,357.60 and 3,313.60 is: 4,974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.96 : 9,357.60 = 3,313.60 : x
  2. Step 2: Convert to fraction form
    6,232.96/9,357.60 = 3,313.60/x
  3. Step 3: Cross multiply
    6,232.96x = 9,357.60 × 3,313.60
  4. Step 4: Simplify right side
    6,232.96x = 31,007,343.36
  5. Step 5: Solve for x
    x = 31,007,343.36/6,232.96
  6. Step 6: Final answer
    x = 4,974.74

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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.