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Finding the Fourth Proportional to 6,814.13, 9,403.56 and 3,829.82

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Solution

The fourth proportional to 6,814.13, 9,403.56 and 3,829.82 is: 5,285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.13 : 9,403.56 = 3,829.82 : x
  2. Step 2: Convert to fraction form
    6,814.13/9,403.56 = 3,829.82/x
  3. Step 3: Cross multiply
    6,814.13x = 9,403.56 × 3,829.82
  4. Step 4: Simplify right side
    6,814.13x = 36,013,895.14
  5. Step 5: Solve for x
    x = 36,013,895.14/6,814.13
  6. Step 6: Final answer
    x = 5,285.18

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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.