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Finding the Fourth Proportional to 6,683.19, 9,201.67 and 5,885.95

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Solution

The fourth proportional to 6,683.19, 9,201.67 and 5,885.95 is: 8,104.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.19 : 9,201.67 = 5,885.95 : x
  2. Step 2: Convert to fraction form
    6,683.19/9,201.67 = 5,885.95/x
  3. Step 3: Cross multiply
    6,683.19x = 9,201.67 × 5,885.95
  4. Step 4: Simplify right side
    6,683.19x = 54,160,569.54
  5. Step 5: Solve for x
    x = 54,160,569.54/6,683.19
  6. Step 6: Final answer
    x = 8,104.00

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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.