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Finding the Fourth Proportional to 9,538.68, 14,310.78 and 3,989.16

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Solution

The fourth proportional to 9,538.68, 14,310.78 and 3,989.16 is: 5,984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.68 : 14,310.78 = 3,989.16 : x
  2. Step 2: Convert to fraction form
    9,538.68/14,310.78 = 3,989.16/x
  3. Step 3: Cross multiply
    9,538.68x = 14,310.78 × 3,989.16
  4. Step 4: Simplify right side
    9,538.68x = 57,087,991.14
  5. Step 5: Solve for x
    x = 57,087,991.14/9,538.68
  6. Step 6: Final answer
    x = 5,984.89

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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.