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Finding the Fourth Proportional to 9,986.28, 13,782.39 and 6,009.60

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Solution

The fourth proportional to 9,986.28, 13,782.39 and 6,009.60 is: 8,294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.28 : 13,782.39 = 6,009.60 : x
  2. Step 2: Convert to fraction form
    9,986.28/13,782.39 = 6,009.60/x
  3. Step 3: Cross multiply
    9,986.28x = 13,782.39 × 6,009.60
  4. Step 4: Simplify right side
    9,986.28x = 82,826,650.94
  5. Step 5: Solve for x
    x = 82,826,650.94/9,986.28
  6. Step 6: Final answer
    x = 8,294.04

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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.