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Finding the Fourth Proportional to 6,596.76, 9,884.34 and 3,991.80

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Solution

The fourth proportional to 6,596.76, 9,884.34 and 3,991.80 is: 5,981.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.76 : 9,884.34 = 3,991.80 : x
  2. Step 2: Convert to fraction form
    6,596.76/9,884.34 = 3,991.80/x
  3. Step 3: Cross multiply
    6,596.76x = 9,884.34 × 3,991.80
  4. Step 4: Simplify right side
    6,596.76x = 39,456,308.41
  5. Step 5: Solve for x
    x = 39,456,308.41/6,596.76
  6. Step 6: Final answer
    x = 5,981.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.