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Finding the Fourth Proportional to 9,684.64, 13,367.70 and 6,321.52

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Solution

The fourth proportional to 9,684.64, 13,367.70 and 6,321.52 is: 8,725.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.64 : 13,367.70 = 6,321.52 : x
  2. Step 2: Convert to fraction form
    9,684.64/13,367.70 = 6,321.52/x
  3. Step 3: Cross multiply
    9,684.64x = 13,367.70 × 6,321.52
  4. Step 4: Simplify right side
    9,684.64x = 84,504,182.90
  5. Step 5: Solve for x
    x = 84,504,182.90/9,684.64
  6. Step 6: Final answer
    x = 8,725.59

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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.