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Finding the Fourth Proportional to 9,508.86, 14,266.53 and 5,993.87

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Solution

The fourth proportional to 9,508.86, 14,266.53 and 5,993.87 is: 8,992.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.86 : 14,266.53 = 5,993.87 : x
  2. Step 2: Convert to fraction form
    9,508.86/14,266.53 = 5,993.87/x
  3. Step 3: Cross multiply
    9,508.86x = 14,266.53 × 5,993.87
  4. Step 4: Simplify right side
    9,508.86x = 85,511,654.84
  5. Step 5: Solve for x
    x = 85,511,654.84/9,508.86
  6. Step 6: Final answer
    x = 8,992.84

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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.