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Finding the Fourth Proportional to 9,903.64, 14,839.26 and 5,996.20

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Solution

The fourth proportional to 9,903.64, 14,839.26 and 5,996.20 is: 8,984.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.64 : 14,839.26 = 5,996.20 : x
  2. Step 2: Convert to fraction form
    9,903.64/14,839.26 = 5,996.20/x
  3. Step 3: Cross multiply
    9,903.64x = 14,839.26 × 5,996.20
  4. Step 4: Simplify right side
    9,903.64x = 88,979,170.81
  5. Step 5: Solve for x
    x = 88,979,170.81/9,903.64
  6. Step 6: Final answer
    x = 8,984.49

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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.