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Finding the Fourth Proportional to 6,899.94, 9,521.92 and 3,756.14

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Solution

The fourth proportional to 6,899.94, 9,521.92 and 3,756.14 is: 5,183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.94 : 9,521.92 = 3,756.14 : x
  2. Step 2: Convert to fraction form
    6,899.94/9,521.92 = 3,756.14/x
  3. Step 3: Cross multiply
    6,899.94x = 9,521.92 × 3,756.14
  4. Step 4: Simplify right side
    6,899.94x = 35,765,664.59
  5. Step 5: Solve for x
    x = 35,765,664.59/6,899.94
  6. Step 6: Final answer
    x = 5,183.47

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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.