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Finding the Fourth Proportional to 6,375, 9,561.14 and 2,676.28

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Solution

The fourth proportional to 6,375, 9,561.14 and 2,676.28 is: 4,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375 : 9,561.14 = 2,676.28 : x
  2. Step 2: Convert to fraction form
    6,375/9,561.14 = 2,676.28/x
  3. Step 3: Cross multiply
    6,375x = 9,561.14 × 2,676.28
  4. Step 4: Simplify right side
    6,375x = 25,588,287.76
  5. Step 5: Solve for x
    x = 25,588,287.76/6,375
  6. Step 6: Final answer
    x = 4,013.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.