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Finding the Fourth Proportional to 9,861.76, 13,609.52 and 5,882.77

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Solution

The fourth proportional to 9,861.76, 13,609.52 and 5,882.77 is: 8,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.76 : 13,609.52 = 5,882.77 : x
  2. Step 2: Convert to fraction form
    9,861.76/13,609.52 = 5,882.77/x
  3. Step 3: Cross multiply
    9,861.76x = 13,609.52 × 5,882.77
  4. Step 4: Simplify right side
    9,861.76x = 80,061,675.97
  5. Step 5: Solve for x
    x = 80,061,675.97/9,861.76
  6. Step 6: Final answer
    x = 8,118.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.