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Finding the Fourth Proportional to 6,835.50, 9,430.83 and 4,181.58

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Solution

The fourth proportional to 6,835.50, 9,430.83 and 4,181.58 is: 5,769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.50 : 9,430.83 = 4,181.58 : x
  2. Step 2: Convert to fraction form
    6,835.50/9,430.83 = 4,181.58/x
  3. Step 3: Cross multiply
    6,835.50x = 9,430.83 × 4,181.58
  4. Step 4: Simplify right side
    6,835.50x = 39,435,770.11
  5. Step 5: Solve for x
    x = 39,435,770.11/6,835.50
  6. Step 6: Final answer
    x = 5,769.26

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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.