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Finding the Fourth Proportional to 9,250.86, 13,876.86 and 2,676.90

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Solution

The fourth proportional to 9,250.86, 13,876.86 and 2,676.90 is: 4,015.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.86 : 13,876.86 = 2,676.90 : x
  2. Step 2: Convert to fraction form
    9,250.86/13,876.86 = 2,676.90/x
  3. Step 3: Cross multiply
    9,250.86x = 13,876.86 × 2,676.90
  4. Step 4: Simplify right side
    9,250.86x = 37,146,966.53
  5. Step 5: Solve for x
    x = 37,146,966.53/9,250.86
  6. Step 6: Final answer
    x = 4,015.51

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Why These Related Problems?

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