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Finding the Fourth Proportional to 6,884.24, 10,336.89 and 6,069.38

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Solution

The fourth proportional to 6,884.24, 10,336.89 and 6,069.38 is: 9,113.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.24 : 10,336.89 = 6,069.38 : x
  2. Step 2: Convert to fraction form
    6,884.24/10,336.89 = 6,069.38/x
  3. Step 3: Cross multiply
    6,884.24x = 10,336.89 × 6,069.38
  4. Step 4: Simplify right side
    6,884.24x = 62,738,513.43
  5. Step 5: Solve for x
    x = 62,738,513.43/6,884.24
  6. Step 6: Final answer
    x = 9,113.35

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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.