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Finding the Fourth Proportional to 9,939.54, 13,716.72 and 5,463.48

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Solution

The fourth proportional to 9,939.54, 13,716.72 and 5,463.48 is: 7,539.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,939.54 : 13,716.72 = 5,463.48 : x
  2. Step 2: Convert to fraction form
    9,939.54/13,716.72 = 5,463.48/x
  3. Step 3: Cross multiply
    9,939.54x = 13,716.72 × 5,463.48
  4. Step 4: Simplify right side
    9,939.54x = 74,941,025.39
  5. Step 5: Solve for x
    x = 74,941,025.39/9,939.54
  6. Step 6: Final answer
    x = 7,539.69

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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.