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Finding the Fourth Proportional to 9,792.50, 14,688.68 and 3,944.97

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Solution

The fourth proportional to 9,792.50, 14,688.68 and 3,944.97 is: 5,917.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.50 : 14,688.68 = 3,944.97 : x
  2. Step 2: Convert to fraction form
    9,792.50/14,688.68 = 3,944.97/x
  3. Step 3: Cross multiply
    9,792.50x = 14,688.68 × 3,944.97
  4. Step 4: Simplify right side
    9,792.50x = 57,946,382.21
  5. Step 5: Solve for x
    x = 57,946,382.21/9,792.50
  6. Step 6: Final answer
    x = 5,917.43

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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.