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Finding the Fourth Proportional to 6,138.29, 9,208.41 and 2,440.55

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Solution

The fourth proportional to 6,138.29, 9,208.41 and 2,440.55 is: 3,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.29 : 9,208.41 = 2,440.55 : x
  2. Step 2: Convert to fraction form
    6,138.29/9,208.41 = 2,440.55/x
  3. Step 3: Cross multiply
    6,138.29x = 9,208.41 × 2,440.55
  4. Step 4: Simplify right side
    6,138.29x = 22,473,538.98
  5. Step 5: Solve for x
    x = 22,473,538.98/6,138.29
  6. Step 6: Final answer
    x = 3,661.21

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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.