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Finding the Fourth Proportional to 9,388.41, 12,958.53 and 5,410.17

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Solution

The fourth proportional to 9,388.41, 12,958.53 and 5,410.17 is: 7,467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,388.41 : 12,958.53 = 5,410.17 : x
  2. Step 2: Convert to fraction form
    9,388.41/12,958.53 = 5,410.17/x
  3. Step 3: Cross multiply
    9,388.41x = 12,958.53 × 5,410.17
  4. Step 4: Simplify right side
    9,388.41x = 70,107,850.25
  5. Step 5: Solve for x
    x = 70,107,850.25/9,388.41
  6. Step 6: Final answer
    x = 7,467.49

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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.