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Finding the Fourth Proportional to 6,504.04, 9,769.18 and 3,876.68

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Solution

The fourth proportional to 6,504.04, 9,769.18 and 3,876.68 is: 5,822.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.04 : 9,769.18 = 3,876.68 : x
  2. Step 2: Convert to fraction form
    6,504.04/9,769.18 = 3,876.68/x
  3. Step 3: Cross multiply
    6,504.04x = 9,769.18 × 3,876.68
  4. Step 4: Simplify right side
    6,504.04x = 37,871,943.60
  5. Step 5: Solve for x
    x = 37,871,943.60/6,504.04
  6. Step 6: Final answer
    x = 5,822.83

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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.