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Finding the Fourth Proportional to 9,321.52, 13,979.16 and 3,164.08

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Solution

The fourth proportional to 9,321.52, 13,979.16 and 3,164.08 is: 4,745.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.52 : 13,979.16 = 3,164.08 : x
  2. Step 2: Convert to fraction form
    9,321.52/13,979.16 = 3,164.08/x
  3. Step 3: Cross multiply
    9,321.52x = 13,979.16 × 3,164.08
  4. Step 4: Simplify right side
    9,321.52x = 44,231,180.57
  5. Step 5: Solve for x
    x = 44,231,180.57/9,321.52
  6. Step 6: Final answer
    x = 4,745.06

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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.