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Finding the Fourth Proportional to 9,541.30, 14,311.80 and 2,615.80

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Solution

The fourth proportional to 9,541.30, 14,311.80 and 2,615.80 is: 3,923.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.30 : 14,311.80 = 2,615.80 : x
  2. Step 2: Convert to fraction form
    9,541.30/14,311.80 = 2,615.80/x
  3. Step 3: Cross multiply
    9,541.30x = 14,311.80 × 2,615.80
  4. Step 4: Simplify right side
    9,541.30x = 37,436,806.44
  5. Step 5: Solve for x
    x = 37,436,806.44/9,541.30
  6. Step 6: Final answer
    x = 3,923.66

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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.