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Finding the Fourth Proportional to 9,723.42, 13,416.97 and 5,473.75

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Solution

The fourth proportional to 9,723.42, 13,416.97 and 5,473.75 is: 7,553.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.42 : 13,416.97 = 5,473.75 : x
  2. Step 2: Convert to fraction form
    9,723.42/13,416.97 = 5,473.75/x
  3. Step 3: Cross multiply
    9,723.42x = 13,416.97 × 5,473.75
  4. Step 4: Simplify right side
    9,723.42x = 73,441,139.54
  5. Step 5: Solve for x
    x = 73,441,139.54/9,723.42
  6. Step 6: Final answer
    x = 7,553.02

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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.