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Finding the Fourth Proportional to 6,943.50, 9,582.23 and 3,799.89

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Solution

The fourth proportional to 6,943.50, 9,582.23 and 3,799.89 is: 5,243.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.50 : 9,582.23 = 3,799.89 : x
  2. Step 2: Convert to fraction form
    6,943.50/9,582.23 = 3,799.89/x
  3. Step 3: Cross multiply
    6,943.50x = 9,582.23 × 3,799.89
  4. Step 4: Simplify right side
    6,943.50x = 36,411,429.45
  5. Step 5: Solve for x
    x = 36,411,429.45/6,943.50
  6. Step 6: Final answer
    x = 5,243.96

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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.