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Finding the Fourth Proportional to 9,115.87, 13,676.26 and 2,876.13

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Solution

The fourth proportional to 9,115.87, 13,676.26 and 2,876.13 is: 4,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.87 : 13,676.26 = 2,876.13 : x
  2. Step 2: Convert to fraction form
    9,115.87/13,676.26 = 2,876.13/x
  3. Step 3: Cross multiply
    9,115.87x = 13,676.26 × 2,876.13
  4. Step 4: Simplify right side
    9,115.87x = 39,334,701.67
  5. Step 5: Solve for x
    x = 39,334,701.67/9,115.87
  6. Step 6: Final answer
    x = 4,314.97

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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.