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Finding the Fourth Proportional to 6,294.09, 8,685.25 and 3,461.42

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Solution

The fourth proportional to 6,294.09, 8,685.25 and 3,461.42 is: 4,776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.09 : 8,685.25 = 3,461.42 : x
  2. Step 2: Convert to fraction form
    6,294.09/8,685.25 = 3,461.42/x
  3. Step 3: Cross multiply
    6,294.09x = 8,685.25 × 3,461.42
  4. Step 4: Simplify right side
    6,294.09x = 30,063,245.98
  5. Step 5: Solve for x
    x = 30,063,245.98/6,294.09
  6. Step 6: Final answer
    x = 4,776.42

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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.