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Finding the Fourth Proportional to 6,731.78, 9,284.63 and 5,976.35

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Solution

The fourth proportional to 6,731.78, 9,284.63 and 5,976.35 is: 8,242.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.78 : 9,284.63 = 5,976.35 : x
  2. Step 2: Convert to fraction form
    6,731.78/9,284.63 = 5,976.35/x
  3. Step 3: Cross multiply
    6,731.78x = 9,284.63 × 5,976.35
  4. Step 4: Simplify right side
    6,731.78x = 55,488,191.83
  5. Step 5: Solve for x
    x = 55,488,191.83/6,731.78
  6. Step 6: Final answer
    x = 8,242.73

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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.