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Finding the Fourth Proportional to 9,861.26, 14,784.58 and 5,964.80

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Solution

The fourth proportional to 9,861.26, 14,784.58 and 5,964.80 is: 8,942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.26 : 14,784.58 = 5,964.80 : x
  2. Step 2: Convert to fraction form
    9,861.26/14,784.58 = 5,964.80/x
  3. Step 3: Cross multiply
    9,861.26x = 14,784.58 × 5,964.80
  4. Step 4: Simplify right side
    9,861.26x = 88,187,062.78
  5. Step 5: Solve for x
    x = 88,187,062.78/9,861.26
  6. Step 6: Final answer
    x = 8,942.78

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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.