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Finding the Fourth Proportional to 9,580.75, 14,371.11 and 3,007.44

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Solution

The fourth proportional to 9,580.75, 14,371.11 and 3,007.44 is: 4,511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.75 : 14,371.11 = 3,007.44 : x
  2. Step 2: Convert to fraction form
    9,580.75/14,371.11 = 3,007.44/x
  3. Step 3: Cross multiply
    9,580.75x = 14,371.11 × 3,007.44
  4. Step 4: Simplify right side
    9,580.75x = 43,220,251.06
  5. Step 5: Solve for x
    x = 43,220,251.06/9,580.75
  6. Step 6: Final answer
    x = 4,511.16

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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.