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Finding the Fourth Proportional to 6,306.78, 9,456.99 and 3,675.13

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Solution

The fourth proportional to 6,306.78, 9,456.99 and 3,675.13 is: 5,510.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.78 : 9,456.99 = 3,675.13 : x
  2. Step 2: Convert to fraction form
    6,306.78/9,456.99 = 3,675.13/x
  3. Step 3: Cross multiply
    6,306.78x = 9,456.99 × 3,675.13
  4. Step 4: Simplify right side
    6,306.78x = 34,755,667.66
  5. Step 5: Solve for x
    x = 34,755,667.66/6,306.78
  6. Step 6: Final answer
    x = 5,510.84

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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.