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Finding the Fourth Proportional to 6,813.24, 9,402.39 and 3,829.06

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Solution

The fourth proportional to 6,813.24, 9,402.39 and 3,829.06 is: 5,284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.24 : 9,402.39 = 3,829.06 : x
  2. Step 2: Convert to fraction form
    6,813.24/9,402.39 = 3,829.06/x
  3. Step 3: Cross multiply
    6,813.24x = 9,402.39 × 3,829.06
  4. Step 4: Simplify right side
    6,813.24x = 36,002,315.45
  5. Step 5: Solve for x
    x = 36,002,315.45/6,813.24
  6. Step 6: Final answer
    x = 5,284.17

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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.