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Finding the Fourth Proportional to 6,200.40, 9,288.72 and 5,991.96

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Solution

The fourth proportional to 6,200.40, 9,288.72 and 5,991.96 is: 8,976.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.40 : 9,288.72 = 5,991.96 : x
  2. Step 2: Convert to fraction form
    6,200.40/9,288.72 = 5,991.96/x
  3. Step 3: Cross multiply
    6,200.40x = 9,288.72 × 5,991.96
  4. Step 4: Simplify right side
    6,200.40x = 55,657,638.69
  5. Step 5: Solve for x
    x = 55,657,638.69/6,200.40
  6. Step 6: Final answer
    x = 8,976.46

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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.