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Finding the Fourth Proportional to 9,657.12, 14,493.90 and 3,817.86

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Solution

The fourth proportional to 9,657.12, 14,493.90 and 3,817.86 is: 5,730.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.12 : 14,493.90 = 3,817.86 : x
  2. Step 2: Convert to fraction form
    9,657.12/14,493.90 = 3,817.86/x
  3. Step 3: Cross multiply
    9,657.12x = 14,493.90 × 3,817.86
  4. Step 4: Simplify right side
    9,657.12x = 55,335,681.05
  5. Step 5: Solve for x
    x = 55,335,681.05/9,657.12
  6. Step 6: Final answer
    x = 5,730.04

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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.