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Finding the Fourth Proportional to 9,584.33, 14,378.51 and 3,011.18

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Solution

The fourth proportional to 9,584.33, 14,378.51 and 3,011.18 is: 4,517.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.33 : 14,378.51 = 3,011.18 : x
  2. Step 2: Convert to fraction form
    9,584.33/14,378.51 = 3,011.18/x
  3. Step 3: Cross multiply
    9,584.33x = 14,378.51 × 3,011.18
  4. Step 4: Simplify right side
    9,584.33x = 43,296,217.38
  5. Step 5: Solve for x
    x = 43,296,217.38/9,584.33
  6. Step 6: Final answer
    x = 4,517.40

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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.