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Finding the Fourth Proportional to 9,441.81, 14,162.72 and 4,496.46

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Solution

The fourth proportional to 9,441.81, 14,162.72 and 4,496.46 is: 6,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.81 : 14,162.72 = 4,496.46 : x
  2. Step 2: Convert to fraction form
    9,441.81/14,162.72 = 4,496.46/x
  3. Step 3: Cross multiply
    9,441.81x = 14,162.72 × 4,496.46
  4. Step 4: Simplify right side
    9,441.81x = 63,682,010.68
  5. Step 5: Solve for x
    x = 63,682,010.68/9,441.81
  6. Step 6: Final answer
    x = 6,744.68

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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.