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Finding the Fourth Proportional to 6,847.71, 9,433.44 and 6,514.19

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Solution

The fourth proportional to 6,847.71, 9,433.44 and 6,514.19 is: 8,973.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.71 : 9,433.44 = 6,514.19 : x
  2. Step 2: Convert to fraction form
    6,847.71/9,433.44 = 6,514.19/x
  3. Step 3: Cross multiply
    6,847.71x = 9,433.44 × 6,514.19
  4. Step 4: Simplify right side
    6,847.71x = 61,451,173.35
  5. Step 5: Solve for x
    x = 61,451,173.35/6,847.71
  6. Step 6: Final answer
    x = 8,973.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.