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Finding the Fourth Proportional to 9,939.68, 13,716.08 and 5,463.64

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Solution

The fourth proportional to 9,939.68, 13,716.08 and 5,463.64 is: 7,539.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,939.68 : 13,716.08 = 5,463.64 : x
  2. Step 2: Convert to fraction form
    9,939.68/13,716.08 = 5,463.64/x
  3. Step 3: Cross multiply
    9,939.68x = 13,716.08 × 5,463.64
  4. Step 4: Simplify right side
    9,939.68x = 74,939,723.33
  5. Step 5: Solve for x
    x = 74,939,723.33/9,939.68
  6. Step 6: Final answer
    x = 7,539.45

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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.