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Finding the Fourth Proportional to 6,849.90, 9,453.17 and 3,866.00

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Solution

The fourth proportional to 6,849.90, 9,453.17 and 3,866.00 is: 5,335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.90 : 9,453.17 = 3,866.00 : x
  2. Step 2: Convert to fraction form
    6,849.90/9,453.17 = 3,866.00/x
  3. Step 3: Cross multiply
    6,849.90x = 9,453.17 × 3,866.00
  4. Step 4: Simplify right side
    6,849.90x = 36,545,917.62
  5. Step 5: Solve for x
    x = 36,545,917.62/6,849.90
  6. Step 6: Final answer
    x = 5,335.25

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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.