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Finding the Fourth Proportional to 9,592.70, 13,236.39 and 5,400.14

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Solution

The fourth proportional to 9,592.70, 13,236.39 and 5,400.14 is: 7,451.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.70 : 13,236.39 = 5,400.14 : x
  2. Step 2: Convert to fraction form
    9,592.70/13,236.39 = 5,400.14/x
  3. Step 3: Cross multiply
    9,592.70x = 13,236.39 × 5,400.14
  4. Step 4: Simplify right side
    9,592.70x = 71,478,359.09
  5. Step 5: Solve for x
    x = 71,478,359.09/9,592.70
  6. Step 6: Final answer
    x = 7,451.33

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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.