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Finding the Fourth Proportional to 9,664.20, 14,511.15 and 5,290.20

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Solution

The fourth proportional to 9,664.20, 14,511.15 and 5,290.20 is: 7,943.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.20 : 14,511.15 = 5,290.20 : x
  2. Step 2: Convert to fraction form
    9,664.20/14,511.15 = 5,290.20/x
  3. Step 3: Cross multiply
    9,664.20x = 14,511.15 × 5,290.20
  4. Step 4: Simplify right side
    9,664.20x = 76,766,885.73
  5. Step 5: Solve for x
    x = 76,766,885.73/9,664.20
  6. Step 6: Final answer
    x = 7,943.43

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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.