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Finding the Fourth Proportional to 6,308.43, 9,461.56 and 2,091.16

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Solution

The fourth proportional to 6,308.43, 9,461.56 and 2,091.16 is: 3,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.43 : 9,461.56 = 2,091.16 : x
  2. Step 2: Convert to fraction form
    6,308.43/9,461.56 = 2,091.16/x
  3. Step 3: Cross multiply
    6,308.43x = 9,461.56 × 2,091.16
  4. Step 4: Simplify right side
    6,308.43x = 19,785,630.58
  5. Step 5: Solve for x
    x = 19,785,630.58/6,308.43
  6. Step 6: Final answer
    x = 3,136.38

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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.