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Finding the Fourth Proportional to 9,591.75, 13,237.16 and 5,400.27

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Solution

The fourth proportional to 9,591.75, 13,237.16 and 5,400.27 is: 7,452.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.75 : 13,237.16 = 5,400.27 : x
  2. Step 2: Convert to fraction form
    9,591.75/13,237.16 = 5,400.27/x
  3. Step 3: Cross multiply
    9,591.75x = 13,237.16 × 5,400.27
  4. Step 4: Simplify right side
    9,591.75x = 71,484,238.03
  5. Step 5: Solve for x
    x = 71,484,238.03/9,591.75
  6. Step 6: Final answer
    x = 7,452.68

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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.