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Finding the Fourth Proportional to 9,948, 13,727.34 and 5,471.94

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Solution

The fourth proportional to 9,948, 13,727.34 and 5,471.94 is: 7,550.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948 : 13,727.34 = 5,471.94 : x
  2. Step 2: Convert to fraction form
    9,948/13,727.34 = 5,471.94/x
  3. Step 3: Cross multiply
    9,948x = 13,727.34 × 5,471.94
  4. Step 4: Simplify right side
    9,948x = 75,115,180.84
  5. Step 5: Solve for x
    x = 75,115,180.84/9,948
  6. Step 6: Final answer
    x = 7,550.78

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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.