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Finding the Fourth Proportional to 9,666.34, 14,502.24 and 3,745.04

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Solution

The fourth proportional to 9,666.34, 14,502.24 and 3,745.04 is: 5,618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.34 : 14,502.24 = 3,745.04 : x
  2. Step 2: Convert to fraction form
    9,666.34/14,502.24 = 3,745.04/x
  3. Step 3: Cross multiply
    9,666.34x = 14,502.24 × 3,745.04
  4. Step 4: Simplify right side
    9,666.34x = 54,311,396.38
  5. Step 5: Solve for x
    x = 54,311,396.38/9,666.34
  6. Step 6: Final answer
    x = 5,618.61

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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.