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Finding the Fourth Proportional to 9,933.75, 13,703.84 and 7,239.20

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Solution

The fourth proportional to 9,933.75, 13,703.84 and 7,239.20 is: 9,986.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.75 : 13,703.84 = 7,239.20 : x
  2. Step 2: Convert to fraction form
    9,933.75/13,703.84 = 7,239.20/x
  3. Step 3: Cross multiply
    9,933.75x = 13,703.84 × 7,239.20
  4. Step 4: Simplify right side
    9,933.75x = 99,204,801.68
  5. Step 5: Solve for x
    x = 99,204,801.68/9,933.75
  6. Step 6: Final answer
    x = 9,986.64

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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.