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Finding the Fourth Proportional to 9,116.69, 13,675.77 and 2,542.94

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Solution

The fourth proportional to 9,116.69, 13,675.77 and 2,542.94 is: 3,814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.69 : 13,675.77 = 2,542.94 : x
  2. Step 2: Convert to fraction form
    9,116.69/13,675.77 = 2,542.94/x
  3. Step 3: Cross multiply
    9,116.69x = 13,675.77 × 2,542.94
  4. Step 4: Simplify right side
    9,116.69x = 34,776,662.56
  5. Step 5: Solve for x
    x = 34,776,662.56/9,116.69
  6. Step 6: Final answer
    x = 3,814.62

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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.