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Finding the Fourth Proportional to 9,539.46, 14,306.46 and 3,297.84

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Solution

The fourth proportional to 9,539.46, 14,306.46 and 3,297.84 is: 4,945.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.46 : 14,306.46 = 3,297.84 : x
  2. Step 2: Convert to fraction form
    9,539.46/14,306.46 = 3,297.84/x
  3. Step 3: Cross multiply
    9,539.46x = 14,306.46 × 3,297.84
  4. Step 4: Simplify right side
    9,539.46x = 47,180,416.05
  5. Step 5: Solve for x
    x = 47,180,416.05/9,539.46
  6. Step 6: Final answer
    x = 4,945.82

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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.