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Finding the Fourth Proportional to 9,648.82, 14,469.79 and 4,379.42

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Solution

The fourth proportional to 9,648.82, 14,469.79 and 4,379.42 is: 6,567.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.82 : 14,469.79 = 4,379.42 : x
  2. Step 2: Convert to fraction form
    9,648.82/14,469.79 = 4,379.42/x
  3. Step 3: Cross multiply
    9,648.82x = 14,469.79 × 4,379.42
  4. Step 4: Simplify right side
    9,648.82x = 63,369,239.77
  5. Step 5: Solve for x
    x = 63,369,239.77/9,648.82
  6. Step 6: Final answer
    x = 6,567.56

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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.