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Finding the Fourth Proportional to 9,853.92, 13,592.16 and 6,321.60

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Solution

The fourth proportional to 9,853.92, 13,592.16 and 6,321.60 is: 8,719.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.92 : 13,592.16 = 6,321.60 : x
  2. Step 2: Convert to fraction form
    9,853.92/13,592.16 = 6,321.60/x
  3. Step 3: Cross multiply
    9,853.92x = 13,592.16 × 6,321.60
  4. Step 4: Simplify right side
    9,853.92x = 85,924,198.66
  5. Step 5: Solve for x
    x = 85,924,198.66/9,853.92
  6. Step 6: Final answer
    x = 8,719.80

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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.