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Finding the Fourth Proportional to 6,614.88, 9,128.52 and 3,820.38

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Solution

The fourth proportional to 6,614.88, 9,128.52 and 3,820.38 is: 5,272.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.88 : 9,128.52 = 3,820.38 : x
  2. Step 2: Convert to fraction form
    6,614.88/9,128.52 = 3,820.38/x
  3. Step 3: Cross multiply
    6,614.88x = 9,128.52 × 3,820.38
  4. Step 4: Simplify right side
    6,614.88x = 34,874,415.24
  5. Step 5: Solve for x
    x = 34,874,415.24/6,614.88
  6. Step 6: Final answer
    x = 5,272.12

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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.