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Finding the Fourth Proportional to 6,241.60, 9,362.40 and 3,606.40

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Solution

The fourth proportional to 6,241.60, 9,362.40 and 3,606.40 is: 5,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.60 : 9,362.40 = 3,606.40 : x
  2. Step 2: Convert to fraction form
    6,241.60/9,362.40 = 3,606.40/x
  3. Step 3: Cross multiply
    6,241.60x = 9,362.40 × 3,606.40
  4. Step 4: Simplify right side
    6,241.60x = 33,764,559.36
  5. Step 5: Solve for x
    x = 33,764,559.36/6,241.60
  6. Step 6: Final answer
    x = 5,409.60

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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.