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Finding the Fourth Proportional to 6,800.44, 9,385.68 and 4,113.88

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Solution

The fourth proportional to 6,800.44, 9,385.68 and 4,113.88 is: 5,677.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.44 : 9,385.68 = 4,113.88 : x
  2. Step 2: Convert to fraction form
    6,800.44/9,385.68 = 4,113.88/x
  3. Step 3: Cross multiply
    6,800.44x = 9,385.68 × 4,113.88
  4. Step 4: Simplify right side
    6,800.44x = 38,611,561.24
  5. Step 5: Solve for x
    x = 38,611,561.24/6,800.44
  6. Step 6: Final answer
    x = 5,677.80

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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.