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Finding the Fourth Proportional to 9,038.80, 13,553.48 and 3,194.56

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Solution

The fourth proportional to 9,038.80, 13,553.48 and 3,194.56 is: 4,790.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.80 : 13,553.48 = 3,194.56 : x
  2. Step 2: Convert to fraction form
    9,038.80/13,553.48 = 3,194.56/x
  3. Step 3: Cross multiply
    9,038.80x = 13,553.48 × 3,194.56
  4. Step 4: Simplify right side
    9,038.80x = 43,297,405.07
  5. Step 5: Solve for x
    x = 43,297,405.07/9,038.80
  6. Step 6: Final answer
    x = 4,790.17

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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.