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Finding the Fourth Proportional to 6,899.58, 9,517.14 and 3,914.76

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Solution

The fourth proportional to 6,899.58, 9,517.14 and 3,914.76 is: 5,399.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.58 : 9,517.14 = 3,914.76 : x
  2. Step 2: Convert to fraction form
    6,899.58/9,517.14 = 3,914.76/x
  3. Step 3: Cross multiply
    6,899.58x = 9,517.14 × 3,914.76
  4. Step 4: Simplify right side
    6,899.58x = 37,257,318.99
  5. Step 5: Solve for x
    x = 37,257,318.99/6,899.58
  6. Step 6: Final answer
    x = 5,399.94

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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.