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Finding the Fourth Proportional to 6,103.98, 8,423.54 and 3,309.48

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Solution

The fourth proportional to 6,103.98, 8,423.54 and 3,309.48 is: 4,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.98 : 8,423.54 = 3,309.48 : x
  2. Step 2: Convert to fraction form
    6,103.98/8,423.54 = 3,309.48/x
  3. Step 3: Cross multiply
    6,103.98x = 8,423.54 × 3,309.48
  4. Step 4: Simplify right side
    6,103.98x = 27,877,537.16
  5. Step 5: Solve for x
    x = 27,877,537.16/6,103.98
  6. Step 6: Final answer
    x = 4,567.11

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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.