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Finding the Fourth Proportional to 9,846.64, 13,584.36 and 6,311.92

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Solution

The fourth proportional to 9,846.64, 13,584.36 and 6,311.92 is: 8,707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.64 : 13,584.36 = 6,311.92 : x
  2. Step 2: Convert to fraction form
    9,846.64/13,584.36 = 6,311.92/x
  3. Step 3: Cross multiply
    9,846.64x = 13,584.36 × 6,311.92
  4. Step 4: Simplify right side
    9,846.64x = 85,743,393.57
  5. Step 5: Solve for x
    x = 85,743,393.57/9,846.64
  6. Step 6: Final answer
    x = 8,707.88

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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.