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Finding the Fourth Proportional to 6,683.89, 9,222.96 and 3,852.18

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Solution

The fourth proportional to 6,683.89, 9,222.96 and 3,852.18 is: 5,315.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.89 : 9,222.96 = 3,852.18 : x
  2. Step 2: Convert to fraction form
    6,683.89/9,222.96 = 3,852.18/x
  3. Step 3: Cross multiply
    6,683.89x = 9,222.96 × 3,852.18
  4. Step 4: Simplify right side
    6,683.89x = 35,528,502.05
  5. Step 5: Solve for x
    x = 35,528,502.05/6,683.89
  6. Step 6: Final answer
    x = 5,315.54

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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.