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Finding the Fourth Proportional to 9,633.96, 14,442.30 and 3,794.04

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Solution

The fourth proportional to 9,633.96, 14,442.30 and 3,794.04 is: 5,687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.96 : 14,442.30 = 3,794.04 : x
  2. Step 2: Convert to fraction form
    9,633.96/14,442.30 = 3,794.04/x
  3. Step 3: Cross multiply
    9,633.96x = 14,442.30 × 3,794.04
  4. Step 4: Simplify right side
    9,633.96x = 54,794,663.89
  5. Step 5: Solve for x
    x = 54,794,663.89/9,633.96
  6. Step 6: Final answer
    x = 5,687.66

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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.