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Finding the Fourth Proportional to 9,604.18, 14,405.04 and 2,584.78

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Solution

The fourth proportional to 9,604.18, 14,405.04 and 2,584.78 is: 3,876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.18 : 14,405.04 = 2,584.78 : x
  2. Step 2: Convert to fraction form
    9,604.18/14,405.04 = 2,584.78/x
  3. Step 3: Cross multiply
    9,604.18x = 14,405.04 × 2,584.78
  4. Step 4: Simplify right side
    9,604.18x = 37,233,859.29
  5. Step 5: Solve for x
    x = 37,233,859.29/9,604.18
  6. Step 6: Final answer
    x = 3,876.84

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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.