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Finding the Fourth Proportional to 6,714.92, 9,266.66 and 3,731.08

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Solution

The fourth proportional to 6,714.92, 9,266.66 and 3,731.08 is: 5,148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.92 : 9,266.66 = 3,731.08 : x
  2. Step 2: Convert to fraction form
    6,714.92/9,266.66 = 3,731.08/x
  3. Step 3: Cross multiply
    6,714.92x = 9,266.66 × 3,731.08
  4. Step 4: Simplify right side
    6,714.92x = 34,574,649.79
  5. Step 5: Solve for x
    x = 34,574,649.79/6,714.92
  6. Step 6: Final answer
    x = 5,148.93

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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.