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Finding the Fourth Proportional to 6,805.69, 9,393.47 and 4,155.33

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Solution

The fourth proportional to 6,805.69, 9,393.47 and 4,155.33 is: 5,735.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.69 : 9,393.47 = 4,155.33 : x
  2. Step 2: Convert to fraction form
    6,805.69/9,393.47 = 4,155.33/x
  3. Step 3: Cross multiply
    6,805.69x = 9,393.47 × 4,155.33
  4. Step 4: Simplify right side
    6,805.69x = 39,032,997.73
  5. Step 5: Solve for x
    x = 39,032,997.73/6,805.69
  6. Step 6: Final answer
    x = 5,735.35

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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.