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Finding the Fourth Proportional to 6,814.16, 9,403.51 and 3,829.97

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Solution

The fourth proportional to 6,814.16, 9,403.51 and 3,829.97 is: 5,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.16 : 9,403.51 = 3,829.97 : x
  2. Step 2: Convert to fraction form
    6,814.16/9,403.51 = 3,829.97/x
  3. Step 3: Cross multiply
    6,814.16x = 9,403.51 × 3,829.97
  4. Step 4: Simplify right side
    6,814.16x = 36,015,161.19
  5. Step 5: Solve for x
    x = 36,015,161.19/6,814.16
  6. Step 6: Final answer
    x = 5,285.34

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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.