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Finding the Fourth Proportional to 7,027.38, 9,705.96 and 4,665.42

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Solution

The fourth proportional to 7,027.38, 9,705.96 and 4,665.42 is: 6,443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.38 : 9,705.96 = 4,665.42 : x
  2. Step 2: Convert to fraction form
    7,027.38/9,705.96 = 4,665.42/x
  3. Step 3: Cross multiply
    7,027.38x = 9,705.96 × 4,665.42
  4. Step 4: Simplify right side
    7,027.38x = 45,282,379.90
  5. Step 5: Solve for x
    x = 45,282,379.90/7,027.38
  6. Step 6: Final answer
    x = 6,443.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.