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Finding the Fourth Proportional to 6,504.66, 9,758.20 and 2,123.36

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Solution

The fourth proportional to 6,504.66, 9,758.20 and 2,123.36 is: 3,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.66 : 9,758.20 = 2,123.36 : x
  2. Step 2: Convert to fraction form
    6,504.66/9,758.20 = 2,123.36/x
  3. Step 3: Cross multiply
    6,504.66x = 9,758.20 × 2,123.36
  4. Step 4: Simplify right side
    6,504.66x = 20,720,171.55
  5. Step 5: Solve for x
    x = 20,720,171.55/6,504.66
  6. Step 6: Final answer
    x = 3,185.43

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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.