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Finding the Fourth Proportional to 9,473.25, 14,202.17 and 3,546.81

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Solution

The fourth proportional to 9,473.25, 14,202.17 and 3,546.81 is: 5,317.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.25 : 14,202.17 = 3,546.81 : x
  2. Step 2: Convert to fraction form
    9,473.25/14,202.17 = 3,546.81/x
  3. Step 3: Cross multiply
    9,473.25x = 14,202.17 × 3,546.81
  4. Step 4: Simplify right side
    9,473.25x = 50,372,426.61
  5. Step 5: Solve for x
    x = 50,372,426.61/9,473.25
  6. Step 6: Final answer
    x = 5,317.33

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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.