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Finding the Fourth Proportional to 6,714.75, 9,266.37 and 3,731.04

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Solution

The fourth proportional to 6,714.75, 9,266.37 and 3,731.04 is: 5,148.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.75 : 9,266.37 = 3,731.04 : x
  2. Step 2: Convert to fraction form
    6,714.75/9,266.37 = 3,731.04/x
  3. Step 3: Cross multiply
    6,714.75x = 9,266.37 × 3,731.04
  4. Step 4: Simplify right side
    6,714.75x = 34,573,197.12
  5. Step 5: Solve for x
    x = 34,573,197.12/6,714.75
  6. Step 6: Final answer
    x = 5,148.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.