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Finding the Fourth Proportional to 9,042.82, 13,559.78 and 3,776.24

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Solution

The fourth proportional to 9,042.82, 13,559.78 and 3,776.24 is: 5,662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.82 : 13,559.78 = 3,776.24 : x
  2. Step 2: Convert to fraction form
    9,042.82/13,559.78 = 3,776.24/x
  3. Step 3: Cross multiply
    9,042.82x = 13,559.78 × 3,776.24
  4. Step 4: Simplify right side
    9,042.82x = 51,205,026.97
  5. Step 5: Solve for x
    x = 51,205,026.97/9,042.82
  6. Step 6: Final answer
    x = 5,662.51

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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.