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Finding the Fourth Proportional to 9,496.80, 14,245.20 and 7,282.46

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Solution

The fourth proportional to 9,496.80, 14,245.20 and 7,282.46 is: 10,923.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.80 : 14,245.20 = 7,282.46 : x
  2. Step 2: Convert to fraction form
    9,496.80/14,245.20 = 7,282.46/x
  3. Step 3: Cross multiply
    9,496.80x = 14,245.20 × 7,282.46
  4. Step 4: Simplify right side
    9,496.80x = 103,740,134.81
  5. Step 5: Solve for x
    x = 103,740,134.81/9,496.80
  6. Step 6: Final answer
    x = 10,923.69

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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.