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Finding the Fourth Proportional to 6,351.81, 8,767.35 and 4,113.60

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Solution

The fourth proportional to 6,351.81, 8,767.35 and 4,113.60 is: 5,677.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.81 : 8,767.35 = 4,113.60 : x
  2. Step 2: Convert to fraction form
    6,351.81/8,767.35 = 4,113.60/x
  3. Step 3: Cross multiply
    6,351.81x = 8,767.35 × 4,113.60
  4. Step 4: Simplify right side
    6,351.81x = 36,065,370.96
  5. Step 5: Solve for x
    x = 36,065,370.96/6,351.81
  6. Step 6: Final answer
    x = 5,677.97

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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.