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Finding the Fourth Proportional to 6,191.96, 9,287.80 and 1,511.92

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Solution

The fourth proportional to 6,191.96, 9,287.80 and 1,511.92 is: 2,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.96 : 9,287.80 = 1,511.92 : x
  2. Step 2: Convert to fraction form
    6,191.96/9,287.80 = 1,511.92/x
  3. Step 3: Cross multiply
    6,191.96x = 9,287.80 × 1,511.92
  4. Step 4: Simplify right side
    6,191.96x = 14,042,410.58
  5. Step 5: Solve for x
    x = 14,042,410.58/6,191.96
  6. Step 6: Final answer
    x = 2,267.85

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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.