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Finding the Fourth Proportional to 9,440.10, 13,027.05 and 5,191.14

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Solution

The fourth proportional to 9,440.10, 13,027.05 and 5,191.14 is: 7,163.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,440.10 : 13,027.05 = 5,191.14 : x
  2. Step 2: Convert to fraction form
    9,440.10/13,027.05 = 5,191.14/x
  3. Step 3: Cross multiply
    9,440.10x = 13,027.05 × 5,191.14
  4. Step 4: Simplify right side
    9,440.10x = 67,625,240.34
  5. Step 5: Solve for x
    x = 67,625,240.34/9,440.10
  6. Step 6: Final answer
    x = 7,163.61

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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.