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Finding the Fourth Proportional to 6,746.38, 9,287.48 and 5,064.96

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Solution

The fourth proportional to 6,746.38, 9,287.48 and 5,064.96 is: 6,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.38 : 9,287.48 = 5,064.96 : x
  2. Step 2: Convert to fraction form
    6,746.38/9,287.48 = 5,064.96/x
  3. Step 3: Cross multiply
    6,746.38x = 9,287.48 × 5,064.96
  4. Step 4: Simplify right side
    6,746.38x = 47,040,714.70
  5. Step 5: Solve for x
    x = 47,040,714.70/6,746.38
  6. Step 6: Final answer
    x = 6,972.73

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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.