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Finding the Fourth Proportional to 9,644.67, 14,456.07 and 3,794.45

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Solution

The fourth proportional to 9,644.67, 14,456.07 and 3,794.45 is: 5,687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.67 : 14,456.07 = 3,794.45 : x
  2. Step 2: Convert to fraction form
    9,644.67/14,456.07 = 3,794.45/x
  3. Step 3: Cross multiply
    9,644.67x = 14,456.07 × 3,794.45
  4. Step 4: Simplify right side
    9,644.67x = 54,852,762.53
  5. Step 5: Solve for x
    x = 54,852,762.53/9,644.67
  6. Step 6: Final answer
    x = 5,687.37

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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.