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Finding the Fourth Proportional to 9,536.10, 14,305.11 and 3,991.20

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Solution

The fourth proportional to 9,536.10, 14,305.11 and 3,991.20 is: 5,987.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.10 : 14,305.11 = 3,991.20 : x
  2. Step 2: Convert to fraction form
    9,536.10/14,305.11 = 3,991.20/x
  3. Step 3: Cross multiply
    9,536.10x = 14,305.11 × 3,991.20
  4. Step 4: Simplify right side
    9,536.10x = 57,094,555.03
  5. Step 5: Solve for x
    x = 57,094,555.03/9,536.10
  6. Step 6: Final answer
    x = 5,987.20

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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.