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Finding the Fourth Proportional to 9,933.82, 13,708.78 and 5,457.56

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Solution

The fourth proportional to 9,933.82, 13,708.78 and 5,457.56 is: 7,531.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.82 : 13,708.78 = 5,457.56 : x
  2. Step 2: Convert to fraction form
    9,933.82/13,708.78 = 5,457.56/x
  3. Step 3: Cross multiply
    9,933.82x = 13,708.78 × 5,457.56
  4. Step 4: Simplify right side
    9,933.82x = 74,816,489.38
  5. Step 5: Solve for x
    x = 74,816,489.38/9,933.82
  6. Step 6: Final answer
    x = 7,531.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.