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Finding the Fourth Proportional to 9,861.40, 13,608.40 and 5,880.48

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Solution

The fourth proportional to 9,861.40, 13,608.40 and 5,880.48 is: 8,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.40 : 13,608.40 = 5,880.48 : x
  2. Step 2: Convert to fraction form
    9,861.40/13,608.40 = 5,880.48/x
  3. Step 3: Cross multiply
    9,861.40x = 13,608.40 × 5,880.48
  4. Step 4: Simplify right side
    9,861.40x = 80,023,924.03
  5. Step 5: Solve for x
    x = 80,023,924.03/9,861.40
  6. Step 6: Final answer
    x = 8,114.86

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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.