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Finding the Fourth Proportional to 9,971.10, 13,751.72 and 5,991.44

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Solution

The fourth proportional to 9,971.10, 13,751.72 and 5,991.44 is: 8,263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.10 : 13,751.72 = 5,991.44 : x
  2. Step 2: Convert to fraction form
    9,971.10/13,751.72 = 5,991.44/x
  3. Step 3: Cross multiply
    9,971.10x = 13,751.72 × 5,991.44
  4. Step 4: Simplify right side
    9,971.10x = 82,392,536.52
  5. Step 5: Solve for x
    x = 82,392,536.52/9,971.10
  6. Step 6: Final answer
    x = 8,263.14

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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.