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Finding the Fourth Proportional to 9,511.62, 14,259.70 and 3,969.09

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Solution

The fourth proportional to 9,511.62, 14,259.70 and 3,969.09 is: 5,950.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.62 : 14,259.70 = 3,969.09 : x
  2. Step 2: Convert to fraction form
    9,511.62/14,259.70 = 3,969.09/x
  3. Step 3: Cross multiply
    9,511.62x = 14,259.70 × 3,969.09
  4. Step 4: Simplify right side
    9,511.62x = 56,598,032.67
  5. Step 5: Solve for x
    x = 56,598,032.67/9,511.62
  6. Step 6: Final answer
    x = 5,950.41

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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.