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Finding the Fourth Proportional to 6,822.50, 9,415.04 and 3,839.00

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Solution

The fourth proportional to 6,822.50, 9,415.04 and 3,839.00 is: 5,297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.50 : 9,415.04 = 3,839.00 : x
  2. Step 2: Convert to fraction form
    6,822.50/9,415.04 = 3,839.00/x
  3. Step 3: Cross multiply
    6,822.50x = 9,415.04 × 3,839.00
  4. Step 4: Simplify right side
    6,822.50x = 36,144,272.29
  5. Step 5: Solve for x
    x = 36,144,272.29/6,822.50
  6. Step 6: Final answer
    x = 5,297.81

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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.