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Finding the Fourth Proportional to 6,714.73, 9,266.16 and 3,730.57

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Solution

The fourth proportional to 6,714.73, 9,266.16 and 3,730.57 is: 5,148.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.73 : 9,266.16 = 3,730.57 : x
  2. Step 2: Convert to fraction form
    6,714.73/9,266.16 = 3,730.57/x
  3. Step 3: Cross multiply
    6,714.73x = 9,266.16 × 3,730.57
  4. Step 4: Simplify right side
    6,714.73x = 34,568,058.51
  5. Step 5: Solve for x
    x = 34,568,058.51/6,714.73
  6. Step 6: Final answer
    x = 5,148.09

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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.