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Finding the Fourth Proportional to 6,507.23, 9,753.96 and 2,123.51

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Solution

The fourth proportional to 6,507.23, 9,753.96 and 2,123.51 is: 3,183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.23 : 9,753.96 = 2,123.51 : x
  2. Step 2: Convert to fraction form
    6,507.23/9,753.96 = 2,123.51/x
  3. Step 3: Cross multiply
    6,507.23x = 9,753.96 × 2,123.51
  4. Step 4: Simplify right side
    6,507.23x = 20,712,631.60
  5. Step 5: Solve for x
    x = 20,712,631.60/6,507.23
  6. Step 6: Final answer
    x = 3,183.02

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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.