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Finding the Fourth Proportional to 9,171.81, 13,755.96 and 2,597.76

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Solution

The fourth proportional to 9,171.81, 13,755.96 and 2,597.76 is: 3,896.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.81 : 13,755.96 = 2,597.76 : x
  2. Step 2: Convert to fraction form
    9,171.81/13,755.96 = 2,597.76/x
  3. Step 3: Cross multiply
    9,171.81x = 13,755.96 × 2,597.76
  4. Step 4: Simplify right side
    9,171.81x = 35,734,682.65
  5. Step 5: Solve for x
    x = 35,734,682.65/9,171.81
  6. Step 6: Final answer
    x = 3,896.14

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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.