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Finding the Fourth Proportional to 6,812.97, 9,403.68 and 3,829.77

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Solution

The fourth proportional to 6,812.97, 9,403.68 and 3,829.77 is: 5,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.97 : 9,403.68 = 3,829.77 : x
  2. Step 2: Convert to fraction form
    6,812.97/9,403.68 = 3,829.77/x
  3. Step 3: Cross multiply
    6,812.97x = 9,403.68 × 3,829.77
  4. Step 4: Simplify right side
    6,812.97x = 36,013,931.55
  5. Step 5: Solve for x
    x = 36,013,931.55/6,812.97
  6. Step 6: Final answer
    x = 5,286.08

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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.