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Finding the Fourth Proportional to 8,643.96, 11,930.22 and 6,777.72

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Solution

The fourth proportional to 8,643.96, 11,930.22 and 6,777.72 is: 9,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.96 : 11,930.22 = 6,777.72 : x
  2. Step 2: Convert to fraction form
    8,643.96/11,930.22 = 6,777.72/x
  3. Step 3: Cross multiply
    8,643.96x = 11,930.22 × 6,777.72
  4. Step 4: Simplify right side
    8,643.96x = 80,859,690.70
  5. Step 5: Solve for x
    x = 80,859,690.70/8,643.96
  6. Step 6: Final answer
    x = 9,354.47

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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.