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Finding the Fourth Proportional to 8,942.25, 13,411.32 and 4,013.30

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Solution

The fourth proportional to 8,942.25, 13,411.32 and 4,013.30 is: 6,019.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.25 : 13,411.32 = 4,013.30 : x
  2. Step 2: Convert to fraction form
    8,942.25/13,411.32 = 4,013.30/x
  3. Step 3: Cross multiply
    8,942.25x = 13,411.32 × 4,013.30
  4. Step 4: Simplify right side
    8,942.25x = 53,823,616.17
  5. Step 5: Solve for x
    x = 53,823,616.17/8,942.25
  6. Step 6: Final answer
    x = 6,019.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.