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Finding the Fourth Proportional to 7,233.84, 9,982.08 and 4,879.17

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Solution

The fourth proportional to 7,233.84, 9,982.08 and 4,879.17 is: 6,732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.84 : 9,982.08 = 4,879.17 : x
  2. Step 2: Convert to fraction form
    7,233.84/9,982.08 = 4,879.17/x
  3. Step 3: Cross multiply
    7,233.84x = 9,982.08 × 4,879.17
  4. Step 4: Simplify right side
    7,233.84x = 48,704,265.27
  5. Step 5: Solve for x
    x = 48,704,265.27/7,233.84
  6. Step 6: Final answer
    x = 6,732.84

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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.