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Finding the Fourth Proportional to 9,986.56, 13,782.30 and 5,510.44

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Solution

The fourth proportional to 9,986.56, 13,782.30 and 5,510.44 is: 7,604.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.56 : 13,782.30 = 5,510.44 : x
  2. Step 2: Convert to fraction form
    9,986.56/13,782.30 = 5,510.44/x
  3. Step 3: Cross multiply
    9,986.56x = 13,782.30 × 5,510.44
  4. Step 4: Simplify right side
    9,986.56x = 75,946,537.21
  5. Step 5: Solve for x
    x = 75,946,537.21/9,986.56
  6. Step 6: Final answer
    x = 7,604.87

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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.