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Finding the Fourth Proportional to 6,943.60, 10,416.06 and 1,945.97

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Solution

The fourth proportional to 6,943.60, 10,416.06 and 1,945.97 is: 2,919.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.60 : 10,416.06 = 1,945.97 : x
  2. Step 2: Convert to fraction form
    6,943.60/10,416.06 = 1,945.97/x
  3. Step 3: Cross multiply
    6,943.60x = 10,416.06 × 1,945.97
  4. Step 4: Simplify right side
    6,943.60x = 20,269,340.28
  5. Step 5: Solve for x
    x = 20,269,340.28/6,943.60
  6. Step 6: Final answer
    x = 2,919.14

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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.