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Finding the Fourth Proportional to 9,694.33, 14,542.89 and 3,118.33

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Solution

The fourth proportional to 9,694.33, 14,542.89 and 3,118.33 is: 4,677.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.33 : 14,542.89 = 3,118.33 : x
  2. Step 2: Convert to fraction form
    9,694.33/14,542.89 = 3,118.33/x
  3. Step 3: Cross multiply
    9,694.33x = 14,542.89 × 3,118.33
  4. Step 4: Simplify right side
    9,694.33x = 45,349,530.17
  5. Step 5: Solve for x
    x = 45,349,530.17/9,694.33
  6. Step 6: Final answer
    x = 4,677.94

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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.