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Finding the Fourth Proportional to 6,401.36, 8,830.83 and 3,747.14

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Solution

The fourth proportional to 6,401.36, 8,830.83 and 3,747.14 is: 5,169.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.36 : 8,830.83 = 3,747.14 : x
  2. Step 2: Convert to fraction form
    6,401.36/8,830.83 = 3,747.14/x
  3. Step 3: Cross multiply
    6,401.36x = 8,830.83 × 3,747.14
  4. Step 4: Simplify right side
    6,401.36x = 33,090,356.33
  5. Step 5: Solve for x
    x = 33,090,356.33/6,401.36
  6. Step 6: Final answer
    x = 5,169.27

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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.