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Finding the Fourth Proportional to 9,027.53, 13,530.35 and 7,934.03

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Solution

The fourth proportional to 9,027.53, 13,530.35 and 7,934.03 is: 11,891.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.53 : 13,530.35 = 7,934.03 : x
  2. Step 2: Convert to fraction form
    9,027.53/13,530.35 = 7,934.03/x
  3. Step 3: Cross multiply
    9,027.53x = 13,530.35 × 7,934.03
  4. Step 4: Simplify right side
    9,027.53x = 107,350,178.84
  5. Step 5: Solve for x
    x = 107,350,178.84/9,027.53
  6. Step 6: Final answer
    x = 11,891.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.