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Finding the Fourth Proportional to 9,165.34, 13,749.23 and 2,591.38

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Solution

The fourth proportional to 9,165.34, 13,749.23 and 2,591.38 is: 3,887.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.34 : 13,749.23 = 2,591.38 : x
  2. Step 2: Convert to fraction form
    9,165.34/13,749.23 = 2,591.38/x
  3. Step 3: Cross multiply
    9,165.34x = 13,749.23 × 2,591.38
  4. Step 4: Simplify right side
    9,165.34x = 35,629,479.64
  5. Step 5: Solve for x
    x = 35,629,479.64/9,165.34
  6. Step 6: Final answer
    x = 3,887.41

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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.