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Finding the Fourth Proportional to 9,678.80, 14,481.48 and 5,732.17

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Solution

The fourth proportional to 9,678.80, 14,481.48 and 5,732.17 is: 8,576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.80 : 14,481.48 = 5,732.17 : x
  2. Step 2: Convert to fraction form
    9,678.80/14,481.48 = 5,732.17/x
  3. Step 3: Cross multiply
    9,678.80x = 14,481.48 × 5,732.17
  4. Step 4: Simplify right side
    9,678.80x = 83,010,305.21
  5. Step 5: Solve for x
    x = 83,010,305.21/9,678.80
  6. Step 6: Final answer
    x = 8,576.51

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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.