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Finding the Fourth Proportional to 7,017.89, 9,684.43 and 3,874.01

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Solution

The fourth proportional to 7,017.89, 9,684.43 and 3,874.01 is: 5,345.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,017.89 : 9,684.43 = 3,874.01 : x
  2. Step 2: Convert to fraction form
    7,017.89/9,684.43 = 3,874.01/x
  3. Step 3: Cross multiply
    7,017.89x = 9,684.43 × 3,874.01
  4. Step 4: Simplify right side
    7,017.89x = 37,517,520.56
  5. Step 5: Solve for x
    x = 37,517,520.56/7,017.89
  6. Step 6: Final answer
    x = 5,345.99

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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.