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Finding the Fourth Proportional to 9,861.84, 13,611.24 and 6,329.52

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Solution

The fourth proportional to 9,861.84, 13,611.24 and 6,329.52 is: 8,735.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.84 : 13,611.24 = 6,329.52 : x
  2. Step 2: Convert to fraction form
    9,861.84/13,611.24 = 6,329.52/x
  3. Step 3: Cross multiply
    9,861.84x = 13,611.24 × 6,329.52
  4. Step 4: Simplify right side
    9,861.84x = 86,152,615.80
  5. Step 5: Solve for x
    x = 86,152,615.80/9,861.84
  6. Step 6: Final answer
    x = 8,735.96

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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.