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Finding the Fourth Proportional to 6,993.81, 9,651.17 and 4,007.57

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Solution

The fourth proportional to 6,993.81, 9,651.17 and 4,007.57 is: 5,530.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.81 : 9,651.17 = 4,007.57 : x
  2. Step 2: Convert to fraction form
    6,993.81/9,651.17 = 4,007.57/x
  3. Step 3: Cross multiply
    6,993.81x = 9,651.17 × 4,007.57
  4. Step 4: Simplify right side
    6,993.81x = 38,677,701.12
  5. Step 5: Solve for x
    x = 38,677,701.12/6,993.81
  6. Step 6: Final answer
    x = 5,530.28

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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.