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Finding the Fourth Proportional to 6,814.50, 9,402.96 and 3,829.74

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Solution

The fourth proportional to 6,814.50, 9,402.96 and 3,829.74 is: 5,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.50 : 9,402.96 = 3,829.74 : x
  2. Step 2: Convert to fraction form
    6,814.50/9,402.96 = 3,829.74/x
  3. Step 3: Cross multiply
    6,814.50x = 9,402.96 × 3,829.74
  4. Step 4: Simplify right side
    6,814.50x = 36,010,892.03
  5. Step 5: Solve for x
    x = 36,010,892.03/6,814.50
  6. Step 6: Final answer
    x = 5,284.45

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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.