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Finding the Fourth Proportional to 9,160.49, 13,731.12 and 3,894.28

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Solution

The fourth proportional to 9,160.49, 13,731.12 and 3,894.28 is: 5,837.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.49 : 13,731.12 = 3,894.28 : x
  2. Step 2: Convert to fraction form
    9,160.49/13,731.12 = 3,894.28/x
  3. Step 3: Cross multiply
    9,160.49x = 13,731.12 × 3,894.28
  4. Step 4: Simplify right side
    9,160.49x = 53,472,791.67
  5. Step 5: Solve for x
    x = 53,472,791.67/9,160.49
  6. Step 6: Final answer
    x = 5,837.33

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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.