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Finding the Fourth Proportional to 6,714.82, 9,266 and 3,730.48

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Solution

The fourth proportional to 6,714.82, 9,266 and 3,730.48 is: 5,147.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.82 : 9,266 = 3,730.48 : x
  2. Step 2: Convert to fraction form
    6,714.82/9,266 = 3,730.48/x
  3. Step 3: Cross multiply
    6,714.82x = 9,266 × 3,730.48
  4. Step 4: Simplify right side
    6,714.82x = 34,566,627.68
  5. Step 5: Solve for x
    x = 34,566,627.68/6,714.82
  6. Step 6: Final answer
    x = 5,147.81

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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.