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Finding the Fourth Proportional to 9,914.63, 13,682.72 and 5,724.23

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Solution

The fourth proportional to 9,914.63, 13,682.72 and 5,724.23 is: 7,899.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.63 : 13,682.72 = 5,724.23 : x
  2. Step 2: Convert to fraction form
    9,914.63/13,682.72 = 5,724.23/x
  3. Step 3: Cross multiply
    9,914.63x = 13,682.72 × 5,724.23
  4. Step 4: Simplify right side
    9,914.63x = 78,322,982.20
  5. Step 5: Solve for x
    x = 78,322,982.20/9,914.63
  6. Step 6: Final answer
    x = 7,899.74

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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.