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Finding the Fourth Proportional to 9,847.35, 14,770.95 and 2,451.76

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Solution

The fourth proportional to 9,847.35, 14,770.95 and 2,451.76 is: 3,677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.35 : 14,770.95 = 2,451.76 : x
  2. Step 2: Convert to fraction form
    9,847.35/14,770.95 = 2,451.76/x
  3. Step 3: Cross multiply
    9,847.35x = 14,770.95 × 2,451.76
  4. Step 4: Simplify right side
    9,847.35x = 36,214,738.26
  5. Step 5: Solve for x
    x = 36,214,738.26/9,847.35
  6. Step 6: Final answer
    x = 3,677.61

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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.