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Finding the Fourth Proportional to 7,236.50, 9,986.43 and 3,924.50

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Solution

The fourth proportional to 7,236.50, 9,986.43 and 3,924.50 is: 5,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,236.50 : 9,986.43 = 3,924.50 : x
  2. Step 2: Convert to fraction form
    7,236.50/9,986.43 = 3,924.50/x
  3. Step 3: Cross multiply
    7,236.50x = 9,986.43 × 3,924.50
  4. Step 4: Simplify right side
    7,236.50x = 39,191,744.54
  5. Step 5: Solve for x
    x = 39,191,744.54/7,236.50
  6. Step 6: Final answer
    x = 5,415.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.