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Finding the Fourth Proportional to 6,388.38, 9,590.67 and 6,125.94

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Solution

The fourth proportional to 6,388.38, 9,590.67 and 6,125.94 is: 9,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.38 : 9,590.67 = 6,125.94 : x
  2. Step 2: Convert to fraction form
    6,388.38/9,590.67 = 6,125.94/x
  3. Step 3: Cross multiply
    6,388.38x = 9,590.67 × 6,125.94
  4. Step 4: Simplify right side
    6,388.38x = 58,751,868.98
  5. Step 5: Solve for x
    x = 58,751,868.98/6,388.38
  6. Step 6: Final answer
    x = 9,196.68

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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.