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Finding the Fourth Proportional to 9,111.75, 13,662.96 and 5,993.52

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Solution

The fourth proportional to 9,111.75, 13,662.96 and 5,993.52 is: 8,987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.75 : 13,662.96 = 5,993.52 : x
  2. Step 2: Convert to fraction form
    9,111.75/13,662.96 = 5,993.52/x
  3. Step 3: Cross multiply
    9,111.75x = 13,662.96 × 5,993.52
  4. Step 4: Simplify right side
    9,111.75x = 81,889,224.02
  5. Step 5: Solve for x
    x = 81,889,224.02/9,111.75
  6. Step 6: Final answer
    x = 8,987.21

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