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Finding the Fourth Proportional to 6,814.10, 9,403.56 and 3,829.92

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Solution

The fourth proportional to 6,814.10, 9,403.56 and 3,829.92 is: 5,285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.10 : 9,403.56 = 3,829.92 : x
  2. Step 2: Convert to fraction form
    6,814.10/9,403.56 = 3,829.92/x
  3. Step 3: Cross multiply
    6,814.10x = 9,403.56 × 3,829.92
  4. Step 4: Simplify right side
    6,814.10x = 36,014,882.52
  5. Step 5: Solve for x
    x = 36,014,882.52/6,814.10
  6. Step 6: Final answer
    x = 5,285.35

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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.