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Finding the Fourth Proportional to 6,191.69, 9,287.54 and 2,678.83

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Solution

The fourth proportional to 6,191.69, 9,287.54 and 2,678.83 is: 4,018.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.69 : 9,287.54 = 2,678.83 : x
  2. Step 2: Convert to fraction form
    6,191.69/9,287.54 = 2,678.83/x
  3. Step 3: Cross multiply
    6,191.69x = 9,287.54 × 2,678.83
  4. Step 4: Simplify right side
    6,191.69x = 24,879,724.26
  5. Step 5: Solve for x
    x = 24,879,724.26/6,191.69
  6. Step 6: Final answer
    x = 4,018.24

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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.