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Finding the Fourth Proportional to 6,191.86, 9,287.75 and 1,511.89

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Solution

The fourth proportional to 6,191.86, 9,287.75 and 1,511.89 is: 2,267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.86 : 9,287.75 = 1,511.89 : x
  2. Step 2: Convert to fraction form
    6,191.86/9,287.75 = 1,511.89/x
  3. Step 3: Cross multiply
    6,191.86x = 9,287.75 × 1,511.89
  4. Step 4: Simplify right side
    6,191.86x = 14,042,056.35
  5. Step 5: Solve for x
    x = 14,042,056.35/6,191.86
  6. Step 6: Final answer
    x = 2,267.83

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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.