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Finding the Fourth Proportional to 6,506.73, 9,753.21 and 2,123.01

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Solution

The fourth proportional to 6,506.73, 9,753.21 and 2,123.01 is: 3,182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.73 : 9,753.21 = 2,123.01 : x
  2. Step 2: Convert to fraction form
    6,506.73/9,753.21 = 2,123.01/x
  3. Step 3: Cross multiply
    6,506.73x = 9,753.21 × 2,123.01
  4. Step 4: Simplify right side
    6,506.73x = 20,706,162.36
  5. Step 5: Solve for x
    x = 20,706,162.36/6,506.73
  6. Step 6: Final answer
    x = 3,182.27

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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.