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Finding the Fourth Proportional to 6,894.09, 10,343.94 and 3,770.31

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Solution

The fourth proportional to 6,894.09, 10,343.94 and 3,770.31 is: 5,657.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.09 : 10,343.94 = 3,770.31 : x
  2. Step 2: Convert to fraction form
    6,894.09/10,343.94 = 3,770.31/x
  3. Step 3: Cross multiply
    6,894.09x = 10,343.94 × 3,770.31
  4. Step 4: Simplify right side
    6,894.09x = 38,999,860.42
  5. Step 5: Solve for x
    x = 38,999,860.42/6,894.09
  6. Step 6: Final answer
    x = 5,657.00

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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.