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Finding the Fourth Proportional to 6,814.46, 9,403.20 and 3,829.60

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Solution

The fourth proportional to 6,814.46, 9,403.20 and 3,829.60 is: 5,284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.46 : 9,403.20 = 3,829.60 : x
  2. Step 2: Convert to fraction form
    6,814.46/9,403.20 = 3,829.60/x
  3. Step 3: Cross multiply
    6,814.46x = 9,403.20 × 3,829.60
  4. Step 4: Simplify right side
    6,814.46x = 36,010,494.72
  5. Step 5: Solve for x
    x = 36,010,494.72/6,814.46
  6. Step 6: Final answer
    x = 5,284.42

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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.