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Finding the Fourth Proportional to 9,648.33, 14,464.18 and 3,729.37

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Solution

The fourth proportional to 9,648.33, 14,464.18 and 3,729.37 is: 5,590.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.33 : 14,464.18 = 3,729.37 : x
  2. Step 2: Convert to fraction form
    9,648.33/14,464.18 = 3,729.37/x
  3. Step 3: Cross multiply
    9,648.33x = 14,464.18 × 3,729.37
  4. Step 4: Simplify right side
    9,648.33x = 53,942,310.47
  5. Step 5: Solve for x
    x = 53,942,310.47/9,648.33
  6. Step 6: Final answer
    x = 5,590.84

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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.