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Finding the Fourth Proportional to 6,642.30, 9,963.45 and 3,361.80

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Solution

The fourth proportional to 6,642.30, 9,963.45 and 3,361.80 is: 5,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.30 : 9,963.45 = 3,361.80 : x
  2. Step 2: Convert to fraction form
    6,642.30/9,963.45 = 3,361.80/x
  3. Step 3: Cross multiply
    6,642.30x = 9,963.45 × 3,361.80
  4. Step 4: Simplify right side
    6,642.30x = 33,495,126.21
  5. Step 5: Solve for x
    x = 33,495,126.21/6,642.30
  6. Step 6: Final answer
    x = 5,042.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.