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Finding the Fourth Proportional to 9,539.67, 14,310.45 and 3,297.90

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Solution

The fourth proportional to 9,539.67, 14,310.45 and 3,297.90 is: 4,947.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.67 : 14,310.45 = 3,297.90 : x
  2. Step 2: Convert to fraction form
    9,539.67/14,310.45 = 3,297.90/x
  3. Step 3: Cross multiply
    9,539.67x = 14,310.45 × 3,297.90
  4. Step 4: Simplify right side
    9,539.67x = 47,194,433.06
  5. Step 5: Solve for x
    x = 47,194,433.06/9,539.67
  6. Step 6: Final answer
    x = 4,947.18

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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.