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Finding the Fourth Proportional to 6,763.10, 9,332.69 and 3,778.31

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Solution

The fourth proportional to 6,763.10, 9,332.69 and 3,778.31 is: 5,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.10 : 9,332.69 = 3,778.31 : x
  2. Step 2: Convert to fraction form
    6,763.10/9,332.69 = 3,778.31/x
  3. Step 3: Cross multiply
    6,763.10x = 9,332.69 × 3,778.31
  4. Step 4: Simplify right side
    6,763.10x = 35,261,800.39
  5. Step 5: Solve for x
    x = 35,261,800.39/6,763.10
  6. Step 6: Final answer
    x = 5,213.86

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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.