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Finding the Fourth Proportional to 6,504.02, 9,759.13 and 6,229.80

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Solution

The fourth proportional to 6,504.02, 9,759.13 and 6,229.80 is: 9,347.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.02 : 9,759.13 = 6,229.80 : x
  2. Step 2: Convert to fraction form
    6,504.02/9,759.13 = 6,229.80/x
  3. Step 3: Cross multiply
    6,504.02x = 9,759.13 × 6,229.80
  4. Step 4: Simplify right side
    6,504.02x = 60,797,428.07
  5. Step 5: Solve for x
    x = 60,797,428.07/6,504.02
  6. Step 6: Final answer
    x = 9,347.68

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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.