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Finding the Fourth Proportional to 6,784.50, 9,361.85 and 3,952.47

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Solution

The fourth proportional to 6,784.50, 9,361.85 and 3,952.47 is: 5,453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.50 : 9,361.85 = 3,952.47 : x
  2. Step 2: Convert to fraction form
    6,784.50/9,361.85 = 3,952.47/x
  3. Step 3: Cross multiply
    6,784.50x = 9,361.85 × 3,952.47
  4. Step 4: Simplify right side
    6,784.50x = 37,002,411.51
  5. Step 5: Solve for x
    x = 37,002,411.51/6,784.50
  6. Step 6: Final answer
    x = 5,453.96

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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.