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Finding the Fourth Proportional to 6,507.38, 9,762.09 and 2,123.82

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Solution

The fourth proportional to 6,507.38, 9,762.09 and 2,123.82 is: 3,186.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.38 : 9,762.09 = 2,123.82 : x
  2. Step 2: Convert to fraction form
    6,507.38/9,762.09 = 2,123.82/x
  3. Step 3: Cross multiply
    6,507.38x = 9,762.09 × 2,123.82
  4. Step 4: Simplify right side
    6,507.38x = 20,732,921.98
  5. Step 5: Solve for x
    x = 20,732,921.98/6,507.38
  6. Step 6: Final answer
    x = 3,186.06

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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.