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Finding the Fourth Proportional to 6,103.97, 8,423.48 and 3,309.47

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Solution

The fourth proportional to 6,103.97, 8,423.48 and 3,309.47 is: 4,567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.97 : 8,423.48 = 3,309.47 : x
  2. Step 2: Convert to fraction form
    6,103.97/8,423.48 = 3,309.47/x
  3. Step 3: Cross multiply
    6,103.97x = 8,423.48 × 3,309.47
  4. Step 4: Simplify right side
    6,103.97x = 27,877,252.10
  5. Step 5: Solve for x
    x = 27,877,252.10/6,103.97
  6. Step 6: Final answer
    x = 4,567.07

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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.