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Finding the Fourth Proportional to 6,190.92, 9,288.75 and 3,727.50

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Solution

The fourth proportional to 6,190.92, 9,288.75 and 3,727.50 is: 5,592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.92 : 9,288.75 = 3,727.50 : x
  2. Step 2: Convert to fraction form
    6,190.92/9,288.75 = 3,727.50/x
  3. Step 3: Cross multiply
    6,190.92x = 9,288.75 × 3,727.50
  4. Step 4: Simplify right side
    6,190.92x = 34,623,815.63
  5. Step 5: Solve for x
    x = 34,623,815.63/6,190.92
  6. Step 6: Final answer
    x = 5,592.68

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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.