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Finding the Fourth Proportional to 6,365.85, 9,531.75 and 3,731.19

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Solution

The fourth proportional to 6,365.85, 9,531.75 and 3,731.19 is: 5,586.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.85 : 9,531.75 = 3,731.19 : x
  2. Step 2: Convert to fraction form
    6,365.85/9,531.75 = 3,731.19/x
  3. Step 3: Cross multiply
    6,365.85x = 9,531.75 × 3,731.19
  4. Step 4: Simplify right side
    6,365.85x = 35,564,770.28
  5. Step 5: Solve for x
    x = 35,564,770.28/6,365.85
  6. Step 6: Final answer
    x = 5,586.81

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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.