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Finding the Fourth Proportional to 9,544.38, 14,322.14 and 3,997.24

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Solution

The fourth proportional to 9,544.38, 14,322.14 and 3,997.24 is: 5,998.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.38 : 14,322.14 = 3,997.24 : x
  2. Step 2: Convert to fraction form
    9,544.38/14,322.14 = 3,997.24/x
  3. Step 3: Cross multiply
    9,544.38x = 14,322.14 × 3,997.24
  4. Step 4: Simplify right side
    9,544.38x = 57,249,030.89
  5. Step 5: Solve for x
    x = 57,249,030.89/9,544.38
  6. Step 6: Final answer
    x = 5,998.19

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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.