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Finding the Fourth Proportional to 6,391.86, 9,584.52 and 2,926.14

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Solution

The fourth proportional to 6,391.86, 9,584.52 and 2,926.14 is: 4,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.86 : 9,584.52 = 2,926.14 : x
  2. Step 2: Convert to fraction form
    6,391.86/9,584.52 = 2,926.14/x
  3. Step 3: Cross multiply
    6,391.86x = 9,584.52 × 2,926.14
  4. Step 4: Simplify right side
    6,391.86x = 28,045,647.35
  5. Step 5: Solve for x
    x = 28,045,647.35/6,391.86
  6. Step 6: Final answer
    x = 4,387.71

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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.