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Finding the Fourth Proportional to 6,714.66, 9,266.82 and 3,731.10

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Solution

The fourth proportional to 6,714.66, 9,266.82 and 3,731.10 is: 5,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.66 : 9,266.82 = 3,731.10 : x
  2. Step 2: Convert to fraction form
    6,714.66/9,266.82 = 3,731.10/x
  3. Step 3: Cross multiply
    6,714.66x = 9,266.82 × 3,731.10
  4. Step 4: Simplify right side
    6,714.66x = 34,575,432.10
  5. Step 5: Solve for x
    x = 34,575,432.10/6,714.66
  6. Step 6: Final answer
    x = 5,149.25

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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.