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Finding the Fourth Proportional to 6,884.47, 9,499.00 and 3,899.62

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Solution

The fourth proportional to 6,884.47, 9,499.00 and 3,899.62 is: 5,380.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.47 : 9,499.00 = 3,899.62 : x
  2. Step 2: Convert to fraction form
    6,884.47/9,499.00 = 3,899.62/x
  3. Step 3: Cross multiply
    6,884.47x = 9,499.00 × 3,899.62
  4. Step 4: Simplify right side
    6,884.47x = 37,042,423.39
  5. Step 5: Solve for x
    x = 37,042,423.39/6,884.47
  6. Step 6: Final answer
    x = 5,380.58

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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.