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Finding the Fourth Proportional to 6,295.89, 9,432.09 and 4,209.75

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Solution

The fourth proportional to 6,295.89, 9,432.09 and 4,209.75 is: 6,306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.89 : 9,432.09 = 4,209.75 : x
  2. Step 2: Convert to fraction form
    6,295.89/9,432.09 = 4,209.75/x
  3. Step 3: Cross multiply
    6,295.89x = 9,432.09 × 4,209.75
  4. Step 4: Simplify right side
    6,295.89x = 39,706,740.88
  5. Step 5: Solve for x
    x = 39,706,740.88/6,295.89
  6. Step 6: Final answer
    x = 6,306.77

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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.