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Finding the Fourth Proportional to 9,546.49, 14,330.21 and 7,584.73

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Solution

The fourth proportional to 9,546.49, 14,330.21 and 7,584.73 is: 11,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.49 : 14,330.21 = 7,584.73 : x
  2. Step 2: Convert to fraction form
    9,546.49/14,330.21 = 7,584.73/x
  3. Step 3: Cross multiply
    9,546.49x = 14,330.21 × 7,584.73
  4. Step 4: Simplify right side
    9,546.49x = 108,690,742.61
  5. Step 5: Solve for x
    x = 108,690,742.61/9,546.49
  6. Step 6: Final answer
    x = 11,385.41

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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.