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Finding the Fourth Proportional to 6,813.18, 9,403.02 and 3,829.14

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Solution

The fourth proportional to 6,813.18, 9,403.02 and 3,829.14 is: 5,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.18 : 9,403.02 = 3,829.14 : x
  2. Step 2: Convert to fraction form
    6,813.18/9,403.02 = 3,829.14/x
  3. Step 3: Cross multiply
    6,813.18x = 9,403.02 × 3,829.14
  4. Step 4: Simplify right side
    6,813.18x = 36,005,480.00
  5. Step 5: Solve for x
    x = 36,005,480.00/6,813.18
  6. Step 6: Final answer
    x = 5,284.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.