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Finding the Fourth Proportional to 9,232.14, 13,843.89 and 2,656.83

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Solution

The fourth proportional to 9,232.14, 13,843.89 and 2,656.83 is: 3,984.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.14 : 13,843.89 = 2,656.83 : x
  2. Step 2: Convert to fraction form
    9,232.14/13,843.89 = 2,656.83/x
  3. Step 3: Cross multiply
    9,232.14x = 13,843.89 × 2,656.83
  4. Step 4: Simplify right side
    9,232.14x = 36,780,862.27
  5. Step 5: Solve for x
    x = 36,780,862.27/9,232.14
  6. Step 6: Final answer
    x = 3,984.00

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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.